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Finding the Third Proportional to 29,075,396 and 63,432,025

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Solution

The third proportional to 29,075,396 and 63,432,025 is: 138,385,795.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,075,396 : 63,432,025 = 63,432,025 : x
  2. Step 2: Convert to fraction form
    29,075,396/63,432,025 = 63,432,025/x
  3. Step 3: Cross multiply
    29,075,396x = 63,432,025 × 63,432,025
  4. Step 4: Simplify right side
    29,075,396x = 4,023,621,795,600,625
  5. Step 5: Solve for x
    x = 4,023,621,795,600,625/29,075,396
  6. Step 6: Final answer
    x = 138,385,795.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.