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Finding the Third Proportional to 871,740,174 and 1,859,861,046

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Solution

The third proportional to 871,740,174 and 1,859,861,046 is: 3,968,020,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,740,174 : 1,859,861,046 = 1,859,861,046 : x
  2. Step 2: Convert to fraction form
    871,740,174/1,859,861,046 = 1,859,861,046/x
  3. Step 3: Cross multiply
    871,740,174x = 1,859,861,046 × 1,859,861,046
  4. Step 4: Simplify right side
    871,740,174x = 3,459,083,110,428,214,272
  5. Step 5: Solve for x
    x = 3,459,083,110,428,214,272/871,740,174
  6. Step 6: Final answer
    x = 3,968,020,763.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.