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Finding the Third Proportional to 187,266,822 and 402,144,972

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Solution

The third proportional to 187,266,822 and 402,144,972 is: 863,583,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,266,822 : 402,144,972 = 402,144,972 : x
  2. Step 2: Convert to fraction form
    187,266,822/402,144,972 = 402,144,972/x
  3. Step 3: Cross multiply
    187,266,822x = 402,144,972 × 402,144,972
  4. Step 4: Simplify right side
    187,266,822x = 161,720,578,504,880,768
  5. Step 5: Solve for x
    x = 161,720,578,504,880,768/187,266,822
  6. Step 6: Final answer
    x = 863,583,718.56

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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.