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Finding the Third Proportional to 3,637,825,688 and 7,893,104,944

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Solution

The third proportional to 3,637,825,688 and 7,893,104,944 is: 17,125,918,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637,825,688 : 7,893,104,944 = 7,893,104,944 : x
  2. Step 2: Convert to fraction form
    3,637,825,688/7,893,104,944 = 7,893,104,944/x
  3. Step 3: Cross multiply
    3,637,825,688x = 7,893,104,944 × 7,893,104,944
  4. Step 4: Simplify right side
    3,637,825,688x = 62,301,105,656,997,240,832
  5. Step 5: Solve for x
    x = 62,301,105,656,997,240,832/3,637,825,688
  6. Step 6: Final answer
    x = 17,125,918,337.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.