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Finding the Third Proportional to 547,516,914 and 1,217,447,184

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Solution

The third proportional to 547,516,914 and 1,217,447,184 is: 2,707,090,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,516,914 : 1,217,447,184 = 1,217,447,184 : x
  2. Step 2: Convert to fraction form
    547,516,914/1,217,447,184 = 1,217,447,184/x
  3. Step 3: Cross multiply
    547,516,914x = 1,217,447,184 × 1,217,447,184
  4. Step 4: Simplify right side
    547,516,914x = 1,482,177,645,829,529,856
  5. Step 5: Solve for x
    x = 1,482,177,645,829,529,856/547,516,914
  6. Step 6: Final answer
    x = 2,707,090,151.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.