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Finding the Third Proportional to 401,955,217.50 and 870,687,541.50

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Solution

The third proportional to 401,955,217.50 and 870,687,541.50 is: 1,886,023,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,955,217.50 : 870,687,541.50 = 870,687,541.50 : x
  2. Step 2: Convert to fraction form
    401,955,217.50/870,687,541.50 = 870,687,541.50/x
  3. Step 3: Cross multiply
    401,955,217.50x = 870,687,541.50 × 870,687,541.50
  4. Step 4: Simplify right side
    401,955,217.50x = 758,096,794,923,314,176
  5. Step 5: Solve for x
    x = 758,096,794,923,314,176/401,955,217.50
  6. Step 6: Final answer
    x = 1,886,023,024.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.