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Finding the Third Proportional to 3,754,121,117 and 5,112,472,178

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Solution

The third proportional to 3,754,121,117 and 5,112,472,178 is: 6,962,314,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754,121,117 : 5,112,472,178 = 5,112,472,178 : x
  2. Step 2: Convert to fraction form
    3,754,121,117/5,112,472,178 = 5,112,472,178/x
  3. Step 3: Cross multiply
    3,754,121,117x = 5,112,472,178 × 5,112,472,178
  4. Step 4: Simplify right side
    3,754,121,117x = 26,137,371,770,824,065,024
  5. Step 5: Solve for x
    x = 26,137,371,770,824,065,024/3,754,121,117
  6. Step 6: Final answer
    x = 6,962,314,468.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.