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Finding the Third Proportional to 60,440,420,240 and 129,371,283,064

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Solution

The third proportional to 60,440,420,240 and 129,371,283,064 is: 276,916,156,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,440,420,240 : 129,371,283,064 = 129,371,283,064 : x
  2. Step 2: Convert to fraction form
    60,440,420,240/129,371,283,064 = 129,371,283,064/x
  3. Step 3: Cross multiply
    60,440,420,240x = 129,371,283,064 × 129,371,283,064
  4. Step 4: Simplify right side
    60,440,420,240x = 16,736,928,881,625,614,254,080
  5. Step 5: Solve for x
    x = 16,736,928,881,625,614,254,080/60,440,420,240
  6. Step 6: Final answer
    x = 276,916,156,690.60

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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.