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Finding the Third Proportional to 45,502,972 and 64,385,312

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Solution

The third proportional to 45,502,972 and 64,385,312 is: 91,103,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,502,972 : 64,385,312 = 64,385,312 : x
  2. Step 2: Convert to fraction form
    45,502,972/64,385,312 = 64,385,312/x
  3. Step 3: Cross multiply
    45,502,972x = 64,385,312 × 64,385,312
  4. Step 4: Simplify right side
    45,502,972x = 4,145,468,401,337,344
  5. Step 5: Solve for x
    x = 4,145,468,401,337,344/45,502,972
  6. Step 6: Final answer
    x = 91,103,244.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.