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Finding the Third Proportional to 1,019,576,949.75 and 1,574,405,115.19

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Solution

The third proportional to 1,019,576,949.75 and 1,574,405,115.19 is: 2,431,156,831.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,576,949.75 : 1,574,405,115.19 = 1,574,405,115.19 : x
  2. Step 2: Convert to fraction form
    1,019,576,949.75/1,574,405,115.19 = 1,574,405,115.19/x
  3. Step 3: Cross multiply
    1,019,576,949.75x = 1,574,405,115.19 × 1,574,405,115.19
  4. Step 4: Simplify right side
    1,019,576,949.75x = 2,478,751,466,728,565,248
  5. Step 5: Solve for x
    x = 2,478,751,466,728,565,248/1,019,576,949.75
  6. Step 6: Final answer
    x = 2,431,156,831.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.