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Finding the Third Proportional to 6,393,643 and 9,750,045

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Solution

The third proportional to 6,393,643 and 9,750,045 is: 14,868,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393,643 : 9,750,045 = 9,750,045 : x
  2. Step 2: Convert to fraction form
    6,393,643/9,750,045 = 9,750,045/x
  3. Step 3: Cross multiply
    6,393,643x = 9,750,045 × 9,750,045
  4. Step 4: Simplify right side
    6,393,643x = 95,063,377,502,025
  5. Step 5: Solve for x
    x = 95,063,377,502,025/6,393,643
  6. Step 6: Final answer
    x = 14,868,421.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.