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Finding the Third Proportional to 3,875,928,666 and 8,502,245,460

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Solution

The third proportional to 3,875,928,666 and 8,502,245,460 is: 18,650,543,931.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875,928,666 : 8,502,245,460 = 8,502,245,460 : x
  2. Step 2: Convert to fraction form
    3,875,928,666/8,502,245,460 = 8,502,245,460/x
  3. Step 3: Cross multiply
    3,875,928,666x = 8,502,245,460 × 8,502,245,460
  4. Step 4: Simplify right side
    3,875,928,666x = 72,288,177,862,090,612,736
  5. Step 5: Solve for x
    x = 72,288,177,862,090,612,736/3,875,928,666
  6. Step 6: Final answer
    x = 18,650,543,931.89

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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.