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Finding the Third Proportional to 262,368,018 and 607,394,781

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Solution

The third proportional to 262,368,018 and 607,394,781 is: 1,406,148,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,368,018 : 607,394,781 = 607,394,781 : x
  2. Step 2: Convert to fraction form
    262,368,018/607,394,781 = 607,394,781/x
  3. Step 3: Cross multiply
    262,368,018x = 607,394,781 × 607,394,781
  4. Step 4: Simplify right side
    262,368,018x = 368,928,419,986,037,952
  5. Step 5: Solve for x
    x = 368,928,419,986,037,952/262,368,018
  6. Step 6: Final answer
    x = 1,406,148,595.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.