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Finding the Third Proportional to 165,626,718 and 348,387,487

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Solution

The third proportional to 165,626,718 and 348,387,487 is: 732,815,590.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,626,718 : 348,387,487 = 348,387,487 : x
  2. Step 2: Convert to fraction form
    165,626,718/348,387,487 = 348,387,487/x
  3. Step 3: Cross multiply
    165,626,718x = 348,387,487 × 348,387,487
  4. Step 4: Simplify right side
    165,626,718x = 121,373,841,098,175,168
  5. Step 5: Solve for x
    x = 121,373,841,098,175,168/165,626,718
  6. Step 6: Final answer
    x = 732,815,590.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.