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Finding the Third Proportional to 6,306,464 and 9,617,169

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Solution

The third proportional to 6,306,464 and 9,617,169 is: 14,665,895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306,464 : 9,617,169 = 9,617,169 : x
  2. Step 2: Convert to fraction form
    6,306,464/9,617,169 = 9,617,169/x
  3. Step 3: Cross multiply
    6,306,464x = 9,617,169 × 9,617,169
  4. Step 4: Simplify right side
    6,306,464x = 92,489,939,574,561
  5. Step 5: Solve for x
    x = 92,489,939,574,561/6,306,464
  6. Step 6: Final answer
    x = 14,665,895.12

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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.