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Finding the Third Proportional to 5,191,458,471,706 and 7,631,674,252,763.50

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Solution

The third proportional to 5,191,458,471,706 and 7,631,674,252,763.50 is: 11,218,899,701,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191,458,471,706 : 7,631,674,252,763.50 = 7,631,674,252,763.50 : x
  2. Step 2: Convert to fraction form
    5,191,458,471,706/7,631,674,252,763.50 = 7,631,674,252,763.50/x
  3. Step 3: Cross multiply
    5,191,458,471,706x = 7,631,674,252,763.50 × 7,631,674,252,763.50
  4. Step 4: Simplify right side
    5,191,458,471,706x = 58,242,451,900,293,328,612,098,048
  5. Step 5: Solve for x
    x = 58,242,451,900,293,328,612,098,048/5,191,458,471,706
  6. Step 6: Final answer
    x = 11,218,899,701,831.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.