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Finding the Third Proportional to 2,012,605,582 and 4,424,454,836

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Solution

The third proportional to 2,012,605,582 and 4,424,454,836 is: 9,726,595,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012,605,582 : 4,424,454,836 = 4,424,454,836 : x
  2. Step 2: Convert to fraction form
    2,012,605,582/4,424,454,836 = 4,424,454,836/x
  3. Step 3: Cross multiply
    2,012,605,582x = 4,424,454,836 × 4,424,454,836
  4. Step 4: Simplify right side
    2,012,605,582x = 19,575,800,595,803,787,264
  5. Step 5: Solve for x
    x = 19,575,800,595,803,787,264/2,012,605,582
  6. Step 6: Final answer
    x = 9,726,595,598.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.