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Finding the Third Proportional to 849,459,432 and 2,002,412,010

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Solution

The third proportional to 849,459,432 and 2,002,412,010 is: 4,720,241,728.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,459,432 : 2,002,412,010 = 2,002,412,010 : x
  2. Step 2: Convert to fraction form
    849,459,432/2,002,412,010 = 2,002,412,010/x
  3. Step 3: Cross multiply
    849,459,432x = 2,002,412,010 × 2,002,412,010
  4. Step 4: Simplify right side
    849,459,432x = 4,009,653,857,792,240,128
  5. Step 5: Solve for x
    x = 4,009,653,857,792,240,128/849,459,432
  6. Step 6: Final answer
    x = 4,720,241,728.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.