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Finding the Third Proportional to 1,033,640,041.50 and 1,588,778,982

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Solution

The third proportional to 1,033,640,041.50 and 1,588,778,982 is: 2,442,067,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,640,041.50 : 1,588,778,982 = 1,588,778,982 : x
  2. Step 2: Convert to fraction form
    1,033,640,041.50/1,588,778,982 = 1,588,778,982/x
  3. Step 3: Cross multiply
    1,033,640,041.50x = 1,588,778,982 × 1,588,778,982
  4. Step 4: Simplify right side
    1,033,640,041.50x = 2,524,218,653,644,956,160
  5. Step 5: Solve for x
    x = 2,524,218,653,644,956,160/1,033,640,041.50
  6. Step 6: Final answer
    x = 2,442,067,404.80

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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.