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Finding the Third Proportional to 22,909,292,695 and 49,319,838,613

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Solution

The third proportional to 22,909,292,695 and 49,319,838,613 is: 106,177,284,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909,292,695 : 49,319,838,613 = 49,319,838,613 : x
  2. Step 2: Convert to fraction form
    22,909,292,695/49,319,838,613 = 49,319,838,613/x
  3. Step 3: Cross multiply
    22,909,292,695x = 49,319,838,613 × 49,319,838,613
  4. Step 4: Simplify right side
    22,909,292,695x = 2,432,446,480,812,365,840,384
  5. Step 5: Solve for x
    x = 2,432,446,480,812,365,840,384/22,909,292,695
  6. Step 6: Final answer
    x = 106,177,284,178.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.