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Finding the Third Proportional to 45,503,080 and 64,385,464

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Solution

The third proportional to 45,503,080 and 64,385,464 is: 91,103,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,503,080 : 64,385,464 = 64,385,464 : x
  2. Step 2: Convert to fraction form
    45,503,080/64,385,464 = 64,385,464/x
  3. Step 3: Cross multiply
    45,503,080x = 64,385,464 × 64,385,464
  4. Step 4: Simplify right side
    45,503,080x = 4,145,487,974,495,296
  5. Step 5: Solve for x
    x = 4,145,487,974,495,296/45,503,080
  6. Step 6: Final answer
    x = 91,103,458.81

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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.