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Finding the Third Proportional to 14,849,136 and 31,498,416

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Solution

The third proportional to 14,849,136 and 31,498,416 is: 66,815,349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,849,136 : 31,498,416 = 31,498,416 : x
  2. Step 2: Convert to fraction form
    14,849,136/31,498,416 = 31,498,416/x
  3. Step 3: Cross multiply
    14,849,136x = 31,498,416 × 31,498,416
  4. Step 4: Simplify right side
    14,849,136x = 992,150,210,509,056
  5. Step 5: Solve for x
    x = 992,150,210,509,056/14,849,136
  6. Step 6: Final answer
    x = 66,815,349.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.