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Finding the Third Proportional to 8,277,984,235 and 18,158,604,047

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Solution

The third proportional to 8,277,984,235 and 18,158,604,047 is: 39,832,752,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277,984,235 : 18,158,604,047 = 18,158,604,047 : x
  2. Step 2: Convert to fraction form
    8,277,984,235/18,158,604,047 = 18,158,604,047/x
  3. Step 3: Cross multiply
    8,277,984,235x = 18,158,604,047 × 18,158,604,047
  4. Step 4: Simplify right side
    8,277,984,235x = 329,734,900,935,724,761,088
  5. Step 5: Solve for x
    x = 329,734,900,935,724,761,088/8,277,984,235
  6. Step 6: Final answer
    x = 39,832,752,947.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.