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Finding the Third Proportional to 4,572,084 and 9,832,344

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Solution

The third proportional to 4,572,084 and 9,832,344 is: 21,144,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572,084 : 9,832,344 = 9,832,344 : x
  2. Step 2: Convert to fraction form
    4,572,084/9,832,344 = 9,832,344/x
  3. Step 3: Cross multiply
    4,572,084x = 9,832,344 × 9,832,344
  4. Step 4: Simplify right side
    4,572,084x = 96,674,988,534,336
  5. Step 5: Solve for x
    x = 96,674,988,534,336/4,572,084
  6. Step 6: Final answer
    x = 21,144,622.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.