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Finding the Third Proportional to 10,413,122,834 and 15,863,316,729

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Solution

The third proportional to 10,413,122,834 and 15,863,316,729 is: 24,166,124,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413,122,834 : 15,863,316,729 = 15,863,316,729 : x
  2. Step 2: Convert to fraction form
    10,413,122,834/15,863,316,729 = 15,863,316,729/x
  3. Step 3: Cross multiply
    10,413,122,834x = 15,863,316,729 × 15,863,316,729
  4. Step 4: Simplify right side
    10,413,122,834x = 251,644,817,644,571,262,976
  5. Step 5: Solve for x
    x = 251,644,817,644,571,262,976/10,413,122,834
  6. Step 6: Final answer
    x = 24,166,124,001.05

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