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Finding the Third Proportional to 34,041,176,992.50 and 74,494,965,531

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Solution

The third proportional to 34,041,176,992.50 and 74,494,965,531 is: 163,023,149,601.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,041,176,992.50 : 74,494,965,531 = 74,494,965,531 : x
  2. Step 2: Convert to fraction form
    34,041,176,992.50/74,494,965,531 = 74,494,965,531/x
  3. Step 3: Cross multiply
    34,041,176,992.50x = 74,494,965,531 × 74,494,965,531
  4. Step 4: Simplify right side
    34,041,176,992.50x = 5,549,499,889,464,878,563,328
  5. Step 5: Solve for x
    x = 5,549,499,889,464,878,563,328/34,041,176,992.50
  6. Step 6: Final answer
    x = 163,023,149,601.66

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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.