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Finding the Third Proportional to 509,667,346.13 and 787,032,855

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Solution

The third proportional to 509,667,346.13 and 787,032,855 is: 1,215,343,144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,667,346.13 : 787,032,855 = 787,032,855 : x
  2. Step 2: Convert to fraction form
    509,667,346.13/787,032,855 = 787,032,855/x
  3. Step 3: Cross multiply
    509,667,346.13x = 787,032,855 × 787,032,855
  4. Step 4: Simplify right side
    509,667,346.13x = 619,420,714,849,451,008
  5. Step 5: Solve for x
    x = 619,420,714,849,451,008/509,667,346.13
  6. Step 6: Final answer
    x = 1,215,343,144.03

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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.