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Finding the Third Proportional to 9,490,478 and 14,707,623

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Solution

The third proportional to 9,490,478 and 14,707,623 is: 22,792,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490,478 : 14,707,623 = 14,707,623 : x
  2. Step 2: Convert to fraction form
    9,490,478/14,707,623 = 14,707,623/x
  3. Step 3: Cross multiply
    9,490,478x = 14,707,623 × 14,707,623
  4. Step 4: Simplify right side
    9,490,478x = 216,314,174,310,129
  5. Step 5: Solve for x
    x = 216,314,174,310,129/9,490,478
  6. Step 6: Final answer
    x = 22,792,758.63

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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.