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Finding the Third Proportional to 868,856,165,662 and 1,870,500,600,188

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Solution

The third proportional to 868,856,165,662 and 1,870,500,600,188 is: 4,026,871,919,171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,856,165,662 : 1,870,500,600,188 = 1,870,500,600,188 : x
  2. Step 2: Convert to fraction form
    868,856,165,662/1,870,500,600,188 = 1,870,500,600,188/x
  3. Step 3: Cross multiply
    868,856,165,662x = 1,870,500,600,188 × 1,870,500,600,188
  4. Step 4: Simplify right side
    868,856,165,662x = 3,498,772,495,303,668,219,772,928
  5. Step 5: Solve for x
    x = 3,498,772,495,303,668,219,772,928/868,856,165,662
  6. Step 6: Final answer
    x = 4,026,871,919,171.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.