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Finding the Third Proportional to 3,087,606,720 and 4,770,864,288

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Solution

The third proportional to 3,087,606,720 and 4,770,864,288 is: 7,371,776,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087,606,720 : 4,770,864,288 = 4,770,864,288 : x
  2. Step 2: Convert to fraction form
    3,087,606,720/4,770,864,288 = 4,770,864,288/x
  3. Step 3: Cross multiply
    3,087,606,720x = 4,770,864,288 × 4,770,864,288
  4. Step 4: Simplify right side
    3,087,606,720x = 22,761,146,054,513,745,920
  5. Step 5: Solve for x
    x = 22,761,146,054,513,745,920/3,087,606,720
  6. Step 6: Final answer
    x = 7,371,776,303.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.