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Finding the Third Proportional to 14,406,784.88 and 31,446,376.88

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Solution

The third proportional to 14,406,784.88 and 31,446,376.88 is: 68,639,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406,784.88 : 31,446,376.88 = 31,446,376.88 : x
  2. Step 2: Convert to fraction form
    14,406,784.88/31,446,376.88 = 31,446,376.88/x
  3. Step 3: Cross multiply
    14,406,784.88x = 31,446,376.88 × 31,446,376.88
  4. Step 4: Simplify right side
    14,406,784.88x = 988,874,618,564,534.75
  5. Step 5: Solve for x
    x = 988,874,618,564,534.75/14,406,784.88
  6. Step 6: Final answer
    x = 68,639,507.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.