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Finding the Third Proportional to 581,088,843,150 and 1,258,870,672,012.50

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Solution

The third proportional to 581,088,843,150 and 1,258,870,672,012.50 is: 2,727,216,995,360.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,088,843,150 : 1,258,870,672,012.50 = 1,258,870,672,012.50 : x
  2. Step 2: Convert to fraction form
    581,088,843,150/1,258,870,672,012.50 = 1,258,870,672,012.50/x
  3. Step 3: Cross multiply
    581,088,843,150x = 1,258,870,672,012.50 × 1,258,870,672,012.50
  4. Step 4: Simplify right side
    581,088,843,150x = 1,584,755,368,853,203,452,952,576
  5. Step 5: Solve for x
    x = 1,584,755,368,853,203,452,952,576/581,088,843,150
  6. Step 6: Final answer
    x = 2,727,216,995,360.76

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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.