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Finding the Third Proportional to 509,787,280.13 and 787,200,742.69

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Solution

The third proportional to 509,787,280.13 and 787,200,742.69 is: 1,215,575,659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,787,280.13 : 787,200,742.69 = 787,200,742.69 : x
  2. Step 2: Convert to fraction form
    509,787,280.13/787,200,742.69 = 787,200,742.69/x
  3. Step 3: Cross multiply
    509,787,280.13x = 787,200,742.69 × 787,200,742.69
  4. Step 4: Simplify right side
    509,787,280.13x = 619,685,009,287,751,552
  5. Step 5: Solve for x
    x = 619,685,009,287,751,552/509,787,280.13
  6. Step 6: Final answer
    x = 1,215,575,659.59

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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.