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Finding the Third Proportional to 32,318,352 and 69,115,032

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Solution

The third proportional to 32,318,352 and 69,115,032 is: 147,807,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,318,352 : 69,115,032 = 69,115,032 : x
  2. Step 2: Convert to fraction form
    32,318,352/69,115,032 = 69,115,032/x
  3. Step 3: Cross multiply
    32,318,352x = 69,115,032 × 69,115,032
  4. Step 4: Simplify right side
    32,318,352x = 4,776,887,648,361,024
  5. Step 5: Solve for x
    x = 4,776,887,648,361,024/32,318,352
  6. Step 6: Final answer
    x = 147,807,278.30

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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.