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Finding the Third Proportional to 364,316,967 and 532,811,919

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Solution

The third proportional to 364,316,967 and 532,811,919 is: 779,235,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,316,967 : 532,811,919 = 532,811,919 : x
  2. Step 2: Convert to fraction form
    364,316,967/532,811,919 = 532,811,919/x
  3. Step 3: Cross multiply
    364,316,967x = 532,811,919 × 532,811,919
  4. Step 4: Simplify right side
    364,316,967x = 283,888,541,028,462,560
  5. Step 5: Solve for x
    x = 283,888,541,028,462,560/364,316,967
  6. Step 6: Final answer
    x = 779,235,025.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.