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Finding the Third Proportional to 966,267,531,677.40 and 2,102,182,800,681.20

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Solution

The third proportional to 966,267,531,677.40 and 2,102,182,800,681.20 is: 4,573,446,155,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,267,531,677.40 : 2,102,182,800,681.20 = 2,102,182,800,681.20 : x
  2. Step 2: Convert to fraction form
    966,267,531,677.40/2,102,182,800,681.20 = 2,102,182,800,681.20/x
  3. Step 3: Cross multiply
    966,267,531,677.40x = 2,102,182,800,681.20 × 2,102,182,800,681.20
  4. Step 4: Simplify right side
    966,267,531,677.40x = 4,419,172,527,479,853,884,112,896
  5. Step 5: Solve for x
    x = 4,419,172,527,479,853,884,112,896/966,267,531,677.40
  6. Step 6: Final answer
    x = 4,573,446,155,029.50

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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.