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Finding the Third Proportional to 4,712,771,025 and 10,252,967,046.75

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Solution

The third proportional to 4,712,771,025 and 10,252,967,046.75 is: 22,306,055,758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,771,025 : 10,252,967,046.75 = 10,252,967,046.75 : x
  2. Step 2: Convert to fraction form
    4,712,771,025/10,252,967,046.75 = 10,252,967,046.75/x
  3. Step 3: Cross multiply
    4,712,771,025x = 10,252,967,046.75 × 10,252,967,046.75
  4. Step 4: Simplify right side
    4,712,771,025x = 105,123,333,261,741,424,640
  5. Step 5: Solve for x
    x = 105,123,333,261,741,424,640/4,712,771,025
  6. Step 6: Final answer
    x = 22,306,055,758.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.