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Finding the Third Proportional to 2,988,525,823.50 and 6,540,024,403.50

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Solution

The third proportional to 2,988,525,823.50 and 6,540,024,403.50 is: 14,312,046,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988,525,823.50 : 6,540,024,403.50 = 6,540,024,403.50 : x
  2. Step 2: Convert to fraction form
    2,988,525,823.50/6,540,024,403.50 = 6,540,024,403.50/x
  3. Step 3: Cross multiply
    2,988,525,823.50x = 6,540,024,403.50 × 6,540,024,403.50
  4. Step 4: Simplify right side
    2,988,525,823.50x = 42,771,919,198,375,534,592
  5. Step 5: Solve for x
    x = 42,771,919,198,375,534,592/2,988,525,823.50
  6. Step 6: Final answer
    x = 14,312,046,046.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.