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Finding the Third Proportional to 14,347,428 and 31,039,320

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Solution

The third proportional to 14,347,428 and 31,039,320 is: 67,150,668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,347,428 : 31,039,320 = 31,039,320 : x
  2. Step 2: Convert to fraction form
    14,347,428/31,039,320 = 31,039,320/x
  3. Step 3: Cross multiply
    14,347,428x = 31,039,320 × 31,039,320
  4. Step 4: Simplify right side
    14,347,428x = 963,439,386,062,400
  5. Step 5: Solve for x
    x = 963,439,386,062,400/14,347,428
  6. Step 6: Final answer
    x = 67,150,668.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.