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Finding the Third Proportional to 702,521,915,950.98 and 947,867,012,928

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Solution

The third proportional to 702,521,915,950.98 and 947,867,012,928 is: 1,278,895,154,439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,521,915,950.98 : 947,867,012,928 = 947,867,012,928 : x
  2. Step 2: Convert to fraction form
    702,521,915,950.98/947,867,012,928 = 947,867,012,928/x
  3. Step 3: Cross multiply
    702,521,915,950.98x = 947,867,012,928 × 947,867,012,928
  4. Step 4: Simplify right side
    702,521,915,950.98x = 898,451,874,197,049,339,543,552
  5. Step 5: Solve for x
    x = 898,451,874,197,049,339,543,552/702,521,915,950.98
  6. Step 6: Final answer
    x = 1,278,895,154,439.20

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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.