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Finding the Third Proportional to 21,543,780 and 47,207,784

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Solution

The third proportional to 21,543,780 and 47,207,784 is: 103,444,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543,780 : 47,207,784 = 47,207,784 : x
  2. Step 2: Convert to fraction form
    21,543,780/47,207,784 = 47,207,784/x
  3. Step 3: Cross multiply
    21,543,780x = 47,207,784 × 47,207,784
  4. Step 4: Simplify right side
    21,543,780x = 2,228,574,870,190,656
  5. Step 5: Solve for x
    x = 2,228,574,870,190,656/21,543,780
  6. Step 6: Final answer
    x = 103,444,004.26

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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.