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Finding the Third Proportional to 9,552,113,574 and 20,668,859,436

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Solution

The third proportional to 9,552,113,574 and 20,668,859,436 is: 44,723,269,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552,113,574 : 20,668,859,436 = 20,668,859,436 : x
  2. Step 2: Convert to fraction form
    9,552,113,574/20,668,859,436 = 20,668,859,436/x
  3. Step 3: Cross multiply
    9,552,113,574x = 20,668,859,436 × 20,668,859,436
  4. Step 4: Simplify right side
    9,552,113,574x = 427,201,750,385,126,211,584
  5. Step 5: Solve for x
    x = 427,201,750,385,126,211,584/9,552,113,574
  6. Step 6: Final answer
    x = 44,723,269,575.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.