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Finding the Third Proportional to 9,697,131 and 14,461,617

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Solution

The third proportional to 9,697,131 and 14,461,617 is: 21,567,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697,131 : 14,461,617 = 14,461,617 : x
  2. Step 2: Convert to fraction form
    9,697,131/14,461,617 = 14,461,617/x
  3. Step 3: Cross multiply
    9,697,131x = 14,461,617 × 14,461,617
  4. Step 4: Simplify right side
    9,697,131x = 209,138,366,254,689
  5. Step 5: Solve for x
    x = 209,138,366,254,689/9,697,131
  6. Step 6: Final answer
    x = 21,567,035.27

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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.