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Finding the Third Proportional to 851,432,547 and 1,835,764,710

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Solution

The third proportional to 851,432,547 and 1,835,764,710 is: 3,958,072,876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,432,547 : 1,835,764,710 = 1,835,764,710 : x
  2. Step 2: Convert to fraction form
    851,432,547/1,835,764,710 = 1,835,764,710/x
  3. Step 3: Cross multiply
    851,432,547x = 1,835,764,710 × 1,835,764,710
  4. Step 4: Simplify right side
    851,432,547x = 3,370,032,070,481,383,936
  5. Step 5: Solve for x
    x = 3,370,032,070,481,383,936/851,432,547
  6. Step 6: Final answer
    x = 3,958,072,876.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.