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Finding the Third Proportional to 9,791,610,947 and 14,697,780,135

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Solution

The third proportional to 9,791,610,947 and 14,697,780,135 is: 22,062,226,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791,610,947 : 14,697,780,135 = 14,697,780,135 : x
  2. Step 2: Convert to fraction form
    9,791,610,947/14,697,780,135 = 14,697,780,135/x
  3. Step 3: Cross multiply
    9,791,610,947x = 14,697,780,135 × 14,697,780,135
  4. Step 4: Simplify right side
    9,791,610,947x = 216,024,740,896,800,604,160
  5. Step 5: Solve for x
    x = 216,024,740,896,800,604,160/9,791,610,947
  6. Step 6: Final answer
    x = 22,062,226,743.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.