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Finding the Third Proportional to 9,117,510 and 14,437,347

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Solution

The third proportional to 9,117,510 and 14,437,347 is: 22,861,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117,510 : 14,437,347 = 14,437,347 : x
  2. Step 2: Convert to fraction form
    9,117,510/14,437,347 = 14,437,347/x
  3. Step 3: Cross multiply
    9,117,510x = 14,437,347 × 14,437,347
  4. Step 4: Simplify right side
    9,117,510x = 208,436,988,398,409
  5. Step 5: Solve for x
    x = 208,436,988,398,409/9,117,510
  6. Step 6: Final answer
    x = 22,861,174.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.