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Finding the Third Proportional to 9,490,476 and 14,707,620

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Solution

The third proportional to 9,490,476 and 14,707,620 is: 22,792,754.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490,476 : 14,707,620 = 14,707,620 : x
  2. Step 2: Convert to fraction form
    9,490,476/14,707,620 = 14,707,620/x
  3. Step 3: Cross multiply
    9,490,476x = 14,707,620 × 14,707,620
  4. Step 4: Simplify right side
    9,490,476x = 216,314,086,064,400
  5. Step 5: Solve for x
    x = 216,314,086,064,400/9,490,476
  6. Step 6: Final answer
    x = 22,792,754.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.