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Finding the Third Proportional to 20,724,001,184 and 31,834,600,720

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Solution

The third proportional to 20,724,001,184 and 31,834,600,720 is: 48,901,840,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,724,001,184 : 31,834,600,720 = 31,834,600,720 : x
  2. Step 2: Convert to fraction form
    20,724,001,184/31,834,600,720 = 31,834,600,720/x
  3. Step 3: Cross multiply
    20,724,001,184x = 31,834,600,720 × 31,834,600,720
  4. Step 4: Simplify right side
    20,724,001,184x = 1,013,441,803,001,824,542,720
  5. Step 5: Solve for x
    x = 1,013,441,803,001,824,542,720/20,724,001,184
  6. Step 6: Final answer
    x = 48,901,840,624.50

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