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Finding the Third Proportional to 585,919,662.75 and 797,922,585.75

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Solution

The third proportional to 585,919,662.75 and 797,922,585.75 is: 1,086,634,385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,919,662.75 : 797,922,585.75 = 797,922,585.75 : x
  2. Step 2: Convert to fraction form
    585,919,662.75/797,922,585.75 = 797,922,585.75/x
  3. Step 3: Cross multiply
    585,919,662.75x = 797,922,585.75 × 797,922,585.75
  4. Step 4: Simplify right side
    585,919,662.75x = 636,680,452,849,966,080
  5. Step 5: Solve for x
    x = 636,680,452,849,966,080/585,919,662.75
  6. Step 6: Final answer
    x = 1,086,634,385.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.