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Finding the Third Proportional to 5,613,143.06 and 7,820,522.16

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Solution

The third proportional to 5,613,143.06 and 7,820,522.16 is: 10,895,957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613,143.06 : 7,820,522.16 = 7,820,522.16 : x
  2. Step 2: Convert to fraction form
    5,613,143.06/7,820,522.16 = 7,820,522.16/x
  3. Step 3: Cross multiply
    5,613,143.06x = 7,820,522.16 × 7,820,522.16
  4. Step 4: Simplify right side
    5,613,143.06x = 61,160,566,796,397.15
  5. Step 5: Solve for x
    x = 61,160,566,796,397.15/5,613,143.06
  6. Step 6: Final answer
    x = 10,895,957.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.