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Finding the Third Proportional to 968,982,148 and 2,125,561,328

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Solution

The third proportional to 968,982,148 and 2,125,561,328 is: 4,662,635,909.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,982,148 : 2,125,561,328 = 2,125,561,328 : x
  2. Step 2: Convert to fraction form
    968,982,148/2,125,561,328 = 2,125,561,328/x
  3. Step 3: Cross multiply
    968,982,148x = 2,125,561,328 × 2,125,561,328
  4. Step 4: Simplify right side
    968,982,148x = 4,518,010,959,089,123,328
  5. Step 5: Solve for x
    x = 4,518,010,959,089,123,328/968,982,148
  6. Step 6: Final answer
    x = 4,662,635,909.67

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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.