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Finding the Third Proportional to 39,774,367,359 and 86,168,947,723

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Solution

The third proportional to 39,774,367,359 and 86,168,947,723 is: 186,680,217,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,774,367,359 : 86,168,947,723 = 86,168,947,723 : x
  2. Step 2: Convert to fraction form
    39,774,367,359/86,168,947,723 = 86,168,947,723/x
  3. Step 3: Cross multiply
    39,774,367,359x = 86,168,947,723 × 86,168,947,723
  4. Step 4: Simplify right side
    39,774,367,359x = 7,425,087,551,689,106,391,040
  5. Step 5: Solve for x
    x = 7,425,087,551,689,106,391,040/39,774,367,359
  6. Step 6: Final answer
    x = 186,680,217,554.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.