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Finding the Third Proportional to 3,686,124,979.50 and 8,123,599,641

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Solution

The third proportional to 3,686,124,979.50 and 8,123,599,641 is: 17,903,047,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,124,979.50 : 8,123,599,641 = 8,123,599,641 : x
  2. Step 2: Convert to fraction form
    3,686,124,979.50/8,123,599,641 = 8,123,599,641/x
  3. Step 3: Cross multiply
    3,686,124,979.50x = 8,123,599,641 × 8,123,599,641
  4. Step 4: Simplify right side
    3,686,124,979.50x = 65,992,871,127,255,326,720
  5. Step 5: Solve for x
    x = 65,992,871,127,255,326,720/3,686,124,979.50
  6. Step 6: Final answer
    x = 17,903,047,643.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.