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Finding the Third Proportional to 9,692,318,604 and 20,746,177,638

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Solution

The third proportional to 9,692,318,604 and 20,746,177,638 is: 44,406,700,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692,318,604 : 20,746,177,638 = 20,746,177,638 : x
  2. Step 2: Convert to fraction form
    9,692,318,604/20,746,177,638 = 20,746,177,638/x
  3. Step 3: Cross multiply
    9,692,318,604x = 20,746,177,638 × 20,746,177,638
  4. Step 4: Simplify right side
    9,692,318,604x = 430,403,886,587,451,277,312
  5. Step 5: Solve for x
    x = 430,403,886,587,451,277,312/9,692,318,604
  6. Step 6: Final answer
    x = 44,406,700,209.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.