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Finding the Third Proportional to 3,249,067,464 and 5,022,644,076

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Solution

The third proportional to 3,249,067,464 and 5,022,644,076 is: 7,764,367,405.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249,067,464 : 5,022,644,076 = 5,022,644,076 : x
  2. Step 2: Convert to fraction form
    3,249,067,464/5,022,644,076 = 5,022,644,076/x
  3. Step 3: Cross multiply
    3,249,067,464x = 5,022,644,076 × 5,022,644,076
  4. Step 4: Simplify right side
    3,249,067,464x = 25,226,953,514,177,892,352
  5. Step 5: Solve for x
    x = 25,226,953,514,177,892,352/3,249,067,464
  6. Step 6: Final answer
    x = 7,764,367,405.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.