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Finding the Third Proportional to 6,357,447 and 9,240,763.50

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Solution

The third proportional to 6,357,447 and 9,240,763.50 is: 13,431,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357,447 : 9,240,763.50 = 9,240,763.50 : x
  2. Step 2: Convert to fraction form
    6,357,447/9,240,763.50 = 9,240,763.50/x
  3. Step 3: Cross multiply
    6,357,447x = 9,240,763.50 × 9,240,763.50
  4. Step 4: Simplify right side
    6,357,447x = 85,391,710,062,932.25
  5. Step 5: Solve for x
    x = 85,391,710,062,932.25/6,357,447
  6. Step 6: Final answer
    x = 13,431,761.22

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.