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Finding the Third Proportional to 9,715,781,263 and 14,927,224,102

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Solution

The third proportional to 9,715,781,263 and 14,927,224,102 is: 22,934,030,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715,781,263 : 14,927,224,102 = 14,927,224,102 : x
  2. Step 2: Convert to fraction form
    9,715,781,263/14,927,224,102 = 14,927,224,102/x
  3. Step 3: Cross multiply
    9,715,781,263x = 14,927,224,102 × 14,927,224,102
  4. Step 4: Simplify right side
    9,715,781,263x = 222,822,019,391,329,697,792
  5. Step 5: Solve for x
    x = 222,822,019,391,329,697,792/9,715,781,263
  6. Step 6: Final answer
    x = 22,934,030,044.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.