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Finding the Third Proportional to 14,366,398 and 31,011,740

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Solution

The third proportional to 14,366,398 and 31,011,740 is: 66,942,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,366,398 : 31,011,740 = 31,011,740 : x
  2. Step 2: Convert to fraction form
    14,366,398/31,011,740 = 31,011,740/x
  3. Step 3: Cross multiply
    14,366,398x = 31,011,740 × 31,011,740
  4. Step 4: Simplify right side
    14,366,398x = 961,728,017,827,600
  5. Step 5: Solve for x
    x = 961,728,017,827,600/14,366,398
  6. Step 6: Final answer
    x = 66,942,877.25

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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.