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Finding the Third Proportional to 1,385,202,974 and 3,047,443,795

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Solution

The third proportional to 1,385,202,974 and 3,047,443,795 is: 6,704,370,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385,202,974 : 3,047,443,795 = 3,047,443,795 : x
  2. Step 2: Convert to fraction form
    1,385,202,974/3,047,443,795 = 3,047,443,795/x
  3. Step 3: Cross multiply
    1,385,202,974x = 3,047,443,795 × 3,047,443,795
  4. Step 4: Simplify right side
    1,385,202,974x = 9,286,913,683,684,001,792
  5. Step 5: Solve for x
    x = 9,286,913,683,684,001,792/1,385,202,974
  6. Step 6: Final answer
    x = 6,704,370,303.85

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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.