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Finding the Third Proportional to 3,875,928,613 and 8,502,245,352

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Solution

The third proportional to 3,875,928,613 and 8,502,245,352 is: 18,650,543,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875,928,613 : 8,502,245,352 = 8,502,245,352 : x
  2. Step 2: Convert to fraction form
    3,875,928,613/8,502,245,352 = 8,502,245,352/x
  3. Step 3: Cross multiply
    3,875,928,613x = 8,502,245,352 × 8,502,245,352
  4. Step 4: Simplify right side
    3,875,928,613x = 72,288,176,025,605,603,328
  5. Step 5: Solve for x
    x = 72,288,176,025,605,603,328/3,875,928,613
  6. Step 6: Final answer
    x = 18,650,543,713.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.