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Finding the Third Proportional to 1,514,446,068 and 2,326,374,612

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Solution

The third proportional to 1,514,446,068 and 2,326,374,612 is: 3,573,596,280.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514,446,068 : 2,326,374,612 = 2,326,374,612 : x
  2. Step 2: Convert to fraction form
    1,514,446,068/2,326,374,612 = 2,326,374,612/x
  3. Step 3: Cross multiply
    1,514,446,068x = 2,326,374,612 × 2,326,374,612
  4. Step 4: Simplify right side
    1,514,446,068x = 5,412,018,835,358,150,656
  5. Step 5: Solve for x
    x = 5,412,018,835,358,150,656/1,514,446,068
  6. Step 6: Final answer
    x = 3,573,596,280.33

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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.