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Finding the Third Proportional to 29,075,633 and 63,432,462

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Solution

The third proportional to 29,075,633 and 63,432,462 is: 138,386,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,075,633 : 63,432,462 = 63,432,462 : x
  2. Step 2: Convert to fraction form
    29,075,633/63,432,462 = 63,432,462/x
  3. Step 3: Cross multiply
    29,075,633x = 63,432,462 × 63,432,462
  4. Step 4: Simplify right side
    29,075,633x = 4,023,677,235,381,444
  5. Step 5: Solve for x
    x = 4,023,677,235,381,444/29,075,633
  6. Step 6: Final answer
    x = 138,386,573.92

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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.