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Finding the Third Proportional to 1,019,576,184.50 and 1,574,403,921.50

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Solution

The third proportional to 1,019,576,184.50 and 1,574,403,921.50 is: 2,431,154,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,576,184.50 : 1,574,403,921.50 = 1,574,403,921.50 : x
  2. Step 2: Convert to fraction form
    1,019,576,184.50/1,574,403,921.50 = 1,574,403,921.50/x
  3. Step 3: Cross multiply
    1,019,576,184.50x = 1,574,403,921.50 × 1,574,403,921.50
  4. Step 4: Simplify right side
    1,019,576,184.50x = 2,478,747,708,034,577,920
  5. Step 5: Solve for x
    x = 2,478,747,708,034,577,920/1,019,576,184.50
  6. Step 6: Final answer
    x = 2,431,154,969.80

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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.