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Finding the Third Proportional to 535,941,358.88 and 1,160,918,763.75

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Solution

The third proportional to 535,941,358.88 and 1,160,918,763.75 is: 2,514,701,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,941,358.88 : 1,160,918,763.75 = 1,160,918,763.75 : x
  2. Step 2: Convert to fraction form
    535,941,358.88/1,160,918,763.75 = 1,160,918,763.75/x
  3. Step 3: Cross multiply
    535,941,358.88x = 1,160,918,763.75 × 1,160,918,763.75
  4. Step 4: Simplify right side
    535,941,358.88x = 1,347,732,376,026,828,288
  5. Step 5: Solve for x
    x = 1,347,732,376,026,828,288/535,941,358.88
  6. Step 6: Final answer
    x = 2,514,701,195.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.