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Finding the Third Proportional to 14,355,214 and 31,500,487

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Solution

The third proportional to 14,355,214 and 31,500,487 is: 69,123,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,355,214 : 31,500,487 = 31,500,487 : x
  2. Step 2: Convert to fraction form
    14,355,214/31,500,487 = 31,500,487/x
  3. Step 3: Cross multiply
    14,355,214x = 31,500,487 × 31,500,487
  4. Step 4: Simplify right side
    14,355,214x = 992,280,681,237,169
  5. Step 5: Solve for x
    x = 992,280,681,237,169/14,355,214
  6. Step 6: Final answer
    x = 69,123,363.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.