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Finding the Third Proportional to 7,783,564,255.88 and 11,624,341,306.50

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Solution

The third proportional to 7,783,564,255.88 and 11,624,341,306.50 is: 17,360,338,575.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783,564,255.88 : 11,624,341,306.50 = 11,624,341,306.50 : x
  2. Step 2: Convert to fraction form
    7,783,564,255.88/11,624,341,306.50 = 11,624,341,306.50/x
  3. Step 3: Cross multiply
    7,783,564,255.88x = 11,624,341,306.50 × 11,624,341,306.50
  4. Step 4: Simplify right side
    7,783,564,255.88x = 135,125,310,810,002,128,896
  5. Step 5: Solve for x
    x = 135,125,310,810,002,128,896/7,783,564,255.88
  6. Step 6: Final answer
    x = 17,360,338,575.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.