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Finding the Third Proportional to 6,539,184 and 9,715,464

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Solution

The third proportional to 6,539,184 and 9,715,464 is: 14,434,559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539,184 : 9,715,464 = 9,715,464 : x
  2. Step 2: Convert to fraction form
    6,539,184/9,715,464 = 9,715,464/x
  3. Step 3: Cross multiply
    6,539,184x = 9,715,464 × 9,715,464
  4. Step 4: Simplify right side
    6,539,184x = 94,390,240,735,296
  5. Step 5: Solve for x
    x = 94,390,240,735,296/6,539,184
  6. Step 6: Final answer
    x = 14,434,559.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.