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Finding the Third Proportional to 3,875,928,772 and 8,502,245,720

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Solution

The third proportional to 3,875,928,772 and 8,502,245,720 is: 18,650,544,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875,928,772 : 8,502,245,720 = 8,502,245,720 : x
  2. Step 2: Convert to fraction form
    3,875,928,772/8,502,245,720 = 8,502,245,720/x
  3. Step 3: Cross multiply
    3,875,928,772x = 8,502,245,720 × 8,502,245,720
  4. Step 4: Simplify right side
    3,875,928,772x = 72,288,182,283,258,314,752
  5. Step 5: Solve for x
    x = 72,288,182,283,258,314,752/3,875,928,772
  6. Step 6: Final answer
    x = 18,650,544,562.50

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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.