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Finding the Third Proportional to 740,410,042,820.51 and 1,501,638,730,976.40

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Solution

The third proportional to 740,410,042,820.51 and 1,501,638,730,976.40 is: 3,045,500,125,550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,410,042,820.51 : 1,501,638,730,976.40 = 1,501,638,730,976.40 : x
  2. Step 2: Convert to fraction form
    740,410,042,820.51/1,501,638,730,976.40 = 1,501,638,730,976.40/x
  3. Step 3: Cross multiply
    740,410,042,820.51x = 1,501,638,730,976.40 × 1,501,638,730,976.40
  4. Step 4: Simplify right side
    740,410,042,820.51x = 2,254,918,878,368,412,796,452,864
  5. Step 5: Solve for x
    x = 2,254,918,878,368,412,796,452,864/740,410,042,820.51
  6. Step 6: Final answer
    x = 3,045,500,125,550.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.