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Finding the Third Proportional to 447,955,902 and 977,969,862

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Solution

The third proportional to 447,955,902 and 977,969,862 is: 2,135,087,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,955,902 : 977,969,862 = 977,969,862 : x
  2. Step 2: Convert to fraction form
    447,955,902/977,969,862 = 977,969,862/x
  3. Step 3: Cross multiply
    447,955,902x = 977,969,862 × 977,969,862
  4. Step 4: Simplify right side
    447,955,902x = 956,425,050,980,299,008
  5. Step 5: Solve for x
    x = 956,425,050,980,299,008/447,955,902
  6. Step 6: Final answer
    x = 2,135,087,509.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.