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Finding the Third Proportional to 14,201,569 and 31,060,332

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Solution

The third proportional to 14,201,569 and 31,060,332 is: 67,932,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201,569 : 31,060,332 = 31,060,332 : x
  2. Step 2: Convert to fraction form
    14,201,569/31,060,332 = 31,060,332/x
  3. Step 3: Cross multiply
    14,201,569x = 31,060,332 × 31,060,332
  4. Step 4: Simplify right side
    14,201,569x = 964,744,223,950,224
  5. Step 5: Solve for x
    x = 964,744,223,950,224/14,201,569
  6. Step 6: Final answer
    x = 67,932,228.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.