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Finding the Third Proportional to 618,550,923,036.08 and 1,331,635,681,943.10

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Solution

The third proportional to 618,550,923,036.08 and 1,331,635,681,943.10 is: 2,866,786,748,486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,550,923,036.08 : 1,331,635,681,943.10 = 1,331,635,681,943.10 : x
  2. Step 2: Convert to fraction form
    618,550,923,036.08/1,331,635,681,943.10 = 1,331,635,681,943.10/x
  3. Step 3: Cross multiply
    618,550,923,036.08x = 1,331,635,681,943.10 × 1,331,635,681,943.10
  4. Step 4: Simplify right side
    618,550,923,036.08x = 1,773,253,589,424,065,128,431,616
  5. Step 5: Solve for x
    x = 1,773,253,589,424,065,128,431,616/618,550,923,036.08
  6. Step 6: Final answer
    x = 2,866,786,748,486.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.