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Finding the Third Proportional to 304,871,980 and 649,071,080

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Solution

The third proportional to 304,871,980 and 649,071,080 is: 1,381,869,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,871,980 : 649,071,080 = 649,071,080 : x
  2. Step 2: Convert to fraction form
    304,871,980/649,071,080 = 649,071,080/x
  3. Step 3: Cross multiply
    304,871,980x = 649,071,080 × 649,071,080
  4. Step 4: Simplify right side
    304,871,980x = 421,293,266,892,366,400
  5. Step 5: Solve for x
    x = 421,293,266,892,366,400/304,871,980
  6. Step 6: Final answer
    x = 1,381,869,422.35

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.