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Finding the Third Proportional to 7,498,021,117 and 16,124,468,624

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Solution

The third proportional to 7,498,021,117 and 16,124,468,624 is: 34,675,614,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498,021,117 : 16,124,468,624 = 16,124,468,624 : x
  2. Step 2: Convert to fraction form
    7,498,021,117/16,124,468,624 = 16,124,468,624/x
  3. Step 3: Cross multiply
    7,498,021,117x = 16,124,468,624 × 16,124,468,624
  4. Step 4: Simplify right side
    7,498,021,117x = 259,998,488,406,360,457,216
  5. Step 5: Solve for x
    x = 259,998,488,406,360,457,216/7,498,021,117
  6. Step 6: Final answer
    x = 34,675,614,318.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.