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Finding the Third Proportional to 453,984,891.75 and 977,597,079.75

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Solution

The third proportional to 453,984,891.75 and 977,597,079.75 is: 2,105,127,434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,984,891.75 : 977,597,079.75 = 977,597,079.75 : x
  2. Step 2: Convert to fraction form
    453,984,891.75/977,597,079.75 = 977,597,079.75/x
  3. Step 3: Cross multiply
    453,984,891.75x = 977,597,079.75 × 977,597,079.75
  4. Step 4: Simplify right side
    453,984,891.75x = 955,696,050,335,727,872
  5. Step 5: Solve for x
    x = 955,696,050,335,727,872/453,984,891.75
  6. Step 6: Final answer
    x = 2,105,127,434.20

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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.