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Finding the Third Proportional to 9,440,506.88 and 14,577,793.78

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Solution

The third proportional to 9,440,506.88 and 14,577,793.78 is: 22,510,663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,440,506.88 : 14,577,793.78 = 14,577,793.78 : x
  2. Step 2: Convert to fraction form
    9,440,506.88/14,577,793.78 = 14,577,793.78/x
  3. Step 3: Cross multiply
    9,440,506.88x = 14,577,793.78 × 14,577,793.78
  4. Step 4: Simplify right side
    9,440,506.88x = 212,512,071,528,651.19
  5. Step 5: Solve for x
    x = 212,512,071,528,651.19/9,440,506.88
  6. Step 6: Final answer
    x = 22,510,663.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.