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Finding the Third Proportional to 14,602,960.13 and 31,160,457

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Solution

The third proportional to 14,602,960.13 and 31,160,457 is: 66,491,592.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602,960.13 : 31,160,457 = 31,160,457 : x
  2. Step 2: Convert to fraction form
    14,602,960.13/31,160,457 = 31,160,457/x
  3. Step 3: Cross multiply
    14,602,960.13x = 31,160,457 × 31,160,457
  4. Step 4: Simplify right side
    14,602,960.13x = 970,974,080,448,849
  5. Step 5: Solve for x
    x = 970,974,080,448,849/14,602,960.13
  6. Step 6: Final answer
    x = 66,491,592.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.