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Finding the Third Proportional to 516,825,987.75 and 794,397,916.69

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Solution

The third proportional to 516,825,987.75 and 794,397,916.69 is: 1,221,045,506.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,825,987.75 : 794,397,916.69 = 794,397,916.69 : x
  2. Step 2: Convert to fraction form
    516,825,987.75/794,397,916.69 = 794,397,916.69/x
  3. Step 3: Cross multiply
    516,825,987.75x = 794,397,916.69 × 794,397,916.69
  4. Step 4: Simplify right side
    516,825,987.75x = 631,068,050,037,440,128
  5. Step 5: Solve for x
    x = 631,068,050,037,440,128/516,825,987.75
  6. Step 6: Final answer
    x = 1,221,045,506.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.