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Finding the Third Proportional to 60,440,420,844 and 129,371,284,224

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Solution

The third proportional to 60,440,420,844 and 129,371,284,224 is: 276,916,158,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,440,420,844 : 129,371,284,224 = 129,371,284,224 : x
  2. Step 2: Convert to fraction form
    60,440,420,844/129,371,284,224 = 129,371,284,224/x
  3. Step 3: Cross multiply
    60,440,420,844x = 129,371,284,224 × 129,371,284,224
  4. Step 4: Simplify right side
    60,440,420,844x = 16,736,929,181,766,990,692,352
  5. Step 5: Solve for x
    x = 16,736,929,181,766,990,692,352/60,440,420,844
  6. Step 6: Final answer
    x = 276,916,158,889.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.