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Finding the Third Proportional to 5,341,006,660 and 7,851,516,723

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Solution

The third proportional to 5,341,006,660 and 7,851,516,723 is: 11,542,077,884.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341,006,660 : 7,851,516,723 = 7,851,516,723 : x
  2. Step 2: Convert to fraction form
    5,341,006,660/7,851,516,723 = 7,851,516,723/x
  3. Step 3: Cross multiply
    5,341,006,660x = 7,851,516,723 × 7,851,516,723
  4. Step 4: Simplify right side
    5,341,006,660x = 61,646,314,851,548,659,712
  5. Step 5: Solve for x
    x = 61,646,314,851,548,659,712/5,341,006,660
  6. Step 6: Final answer
    x = 11,542,077,884.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.