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Finding the Third Proportional to 30,653,698 and 51,087,454

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Solution

The third proportional to 30,653,698 and 51,087,454 is: 85,142,352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653,698 : 51,087,454 = 51,087,454 : x
  2. Step 2: Convert to fraction form
    30,653,698/51,087,454 = 51,087,454/x
  3. Step 3: Cross multiply
    30,653,698x = 51,087,454 × 51,087,454
  4. Step 4: Simplify right side
    30,653,698x = 2,609,927,956,202,116
  5. Step 5: Solve for x
    x = 2,609,927,956,202,116/30,653,698
  6. Step 6: Final answer
    x = 85,142,352.36

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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.