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Finding the Third Proportional to 24,087,697,696 and 52,178,025,280

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Solution

The third proportional to 24,087,697,696 and 52,178,025,280 is: 113,026,423,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,087,697,696 : 52,178,025,280 = 52,178,025,280 : x
  2. Step 2: Convert to fraction form
    24,087,697,696/52,178,025,280 = 52,178,025,280/x
  3. Step 3: Cross multiply
    24,087,697,696x = 52,178,025,280 × 52,178,025,280
  4. Step 4: Simplify right side
    24,087,697,696x = 2,722,546,322,120,319,172,608
  5. Step 5: Solve for x
    x = 2,722,546,322,120,319,172,608/24,087,697,696
  6. Step 6: Final answer
    x = 113,026,423,549.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.