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Finding the Third Proportional to 32,371,592 and 69,334,352

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Solution

The third proportional to 32,371,592 and 69,334,352 is: 148,502,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,371,592 : 69,334,352 = 69,334,352 : x
  2. Step 2: Convert to fraction form
    32,371,592/69,334,352 = 69,334,352/x
  3. Step 3: Cross multiply
    32,371,592x = 69,334,352 × 69,334,352
  4. Step 4: Simplify right side
    32,371,592x = 4,807,252,367,259,904
  5. Step 5: Solve for x
    x = 4,807,252,367,259,904/32,371,592
  6. Step 6: Final answer
    x = 148,502,191.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.