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Finding the Third Proportional to 136,138,688 and 291,413,632

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Solution

The third proportional to 136,138,688 and 291,413,632 is: 623,789,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,138,688 : 291,413,632 = 291,413,632 : x
  2. Step 2: Convert to fraction form
    136,138,688/291,413,632 = 291,413,632/x
  3. Step 3: Cross multiply
    136,138,688x = 291,413,632 × 291,413,632
  4. Step 4: Simplify right side
    136,138,688x = 84,921,904,915,431,424
  5. Step 5: Solve for x
    x = 84,921,904,915,431,424/136,138,688
  6. Step 6: Final answer
    x = 623,789,652.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.