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Finding the Third Proportional to 51,048,830 and 77,181,011

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Solution

The third proportional to 51,048,830 and 77,181,011 is: 116,690,401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,048,830 : 77,181,011 = 77,181,011 : x
  2. Step 2: Convert to fraction form
    51,048,830/77,181,011 = 77,181,011/x
  3. Step 3: Cross multiply
    51,048,830x = 77,181,011 × 77,181,011
  4. Step 4: Simplify right side
    51,048,830x = 5,956,908,458,982,121
  5. Step 5: Solve for x
    x = 5,956,908,458,982,121/51,048,830
  6. Step 6: Final answer
    x = 116,690,401.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.