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Finding the Third Proportional to 9,140,190,560 and 12,629,666,948

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Solution

The third proportional to 9,140,190,560 and 12,629,666,948 is: 17,451,330,600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140,190,560 : 12,629,666,948 = 12,629,666,948 : x
  2. Step 2: Convert to fraction form
    9,140,190,560/12,629,666,948 = 12,629,666,948/x
  3. Step 3: Cross multiply
    9,140,190,560x = 12,629,666,948 × 12,629,666,948
  4. Step 4: Simplify right side
    9,140,190,560x = 159,508,487,217,403,625,472
  5. Step 5: Solve for x
    x = 159,508,487,217,403,625,472/9,140,190,560
  6. Step 6: Final answer
    x = 17,451,330,600.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.