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Finding the Third Proportional to 9,103,894,277,921 and 19,658,791,414,876

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Solution

The third proportional to 9,103,894,277,921 and 19,658,791,414,876 is: 42,450,853,238,802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103,894,277,921 : 19,658,791,414,876 = 19,658,791,414,876 : x
  2. Step 2: Convert to fraction form
    9,103,894,277,921/19,658,791,414,876 = 19,658,791,414,876/x
  3. Step 3: Cross multiply
    9,103,894,277,921x = 19,658,791,414,876 × 19,658,791,414,876
  4. Step 4: Simplify right side
    9,103,894,277,921x = 386,468,079,893,602,338,313,601,024
  5. Step 5: Solve for x
    x = 386,468,079,893,602,338,313,601,024/9,103,894,277,921
  6. Step 6: Final answer
    x = 42,450,853,238,802.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.