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Finding the Third Proportional to 1,727,345,225 and 3,729,935,376

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Solution

The third proportional to 1,727,345,225 and 3,729,935,376 is: 8,054,219,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727,345,225 : 3,729,935,376 = 3,729,935,376 : x
  2. Step 2: Convert to fraction form
    1,727,345,225/3,729,935,376 = 3,729,935,376/x
  3. Step 3: Cross multiply
    1,727,345,225x = 3,729,935,376 × 3,729,935,376
  4. Step 4: Simplify right side
    1,727,345,225x = 13,912,417,909,136,261,120
  5. Step 5: Solve for x
    x = 13,912,417,909,136,261,120/1,727,345,225
  6. Step 6: Final answer
    x = 8,054,219,682.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.