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Finding the Third Proportional to 30,653,694 and 51,087,447

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Solution

The third proportional to 30,653,694 and 51,087,447 is: 85,142,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653,694 : 51,087,447 = 51,087,447 : x
  2. Step 2: Convert to fraction form
    30,653,694/51,087,447 = 51,087,447/x
  3. Step 3: Cross multiply
    30,653,694x = 51,087,447 × 51,087,447
  4. Step 4: Simplify right side
    30,653,694x = 2,609,927,240,977,809
  5. Step 5: Solve for x
    x = 2,609,927,240,977,809/30,653,694
  6. Step 6: Final answer
    x = 85,142,340.14

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.