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Finding the Third Proportional to 702,521,949,927.50 and 947,867,062,959.75

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Solution

The third proportional to 702,521,949,927.50 and 947,867,062,959.75 is: 1,278,895,227,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,521,949,927.50 : 947,867,062,959.75 = 947,867,062,959.75 : x
  2. Step 2: Convert to fraction form
    702,521,949,927.50/947,867,062,959.75 = 947,867,062,959.75/x
  3. Step 3: Cross multiply
    702,521,949,927.50x = 947,867,062,959.75 × 947,867,062,959.75
  4. Step 4: Simplify right side
    702,521,949,927.50x = 898,451,969,043,942,653,034,496
  5. Step 5: Solve for x
    x = 898,451,969,043,942,653,034,496/702,521,949,927.50
  6. Step 6: Final answer
    x = 1,278,895,227,596.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.