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Finding the Third Proportional to 4,712,937.75 and 7,206,364.13

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Solution

The third proportional to 4,712,937.75 and 7,206,364.13 is: 11,018,962.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,937.75 : 7,206,364.13 = 7,206,364.13 : x
  2. Step 2: Convert to fraction form
    4,712,937.75/7,206,364.13 = 7,206,364.13/x
  3. Step 3: Cross multiply
    4,712,937.75x = 7,206,364.13 × 7,206,364.13
  4. Step 4: Simplify right side
    4,712,937.75x = 51,931,683,902,087.02
  5. Step 5: Solve for x
    x = 51,931,683,902,087.02/4,712,937.75
  6. Step 6: Final answer
    x = 11,018,962.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.