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Finding the Third Proportional to 553,242,707 and 841,192,523

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Solution

The third proportional to 553,242,707 and 841,192,523 is: 1,279,013,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,242,707 : 841,192,523 = 841,192,523 : x
  2. Step 2: Convert to fraction form
    553,242,707/841,192,523 = 841,192,523/x
  3. Step 3: Cross multiply
    553,242,707x = 841,192,523 × 841,192,523
  4. Step 4: Simplify right side
    553,242,707x = 707,604,860,751,105,536
  5. Step 5: Solve for x
    x = 707,604,860,751,105,536/553,242,707
  6. Step 6: Final answer
    x = 1,279,013,445.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.