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Finding the Third Proportional to 1,019,576,196 and 1,574,403,963.75

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Solution

The third proportional to 1,019,576,196 and 1,574,403,963.75 is: 2,431,155,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,576,196 : 1,574,403,963.75 = 1,574,403,963.75 : x
  2. Step 2: Convert to fraction form
    1,019,576,196/1,574,403,963.75 = 1,574,403,963.75/x
  3. Step 3: Cross multiply
    1,019,576,196x = 1,574,403,963.75 × 1,574,403,963.75
  4. Step 4: Simplify right side
    1,019,576,196x = 2,478,747,841,071,711,232
  5. Step 5: Solve for x
    x = 2,478,747,841,071,711,232/1,019,576,196
  6. Step 6: Final answer
    x = 2,431,155,072.86

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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.