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Finding the Third Proportional to 2,976,103,416 and 4,900,468,164

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Solution

The third proportional to 2,976,103,416 and 4,900,468,164 is: 8,069,137,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,103,416 : 4,900,468,164 = 4,900,468,164 : x
  2. Step 2: Convert to fraction form
    2,976,103,416/4,900,468,164 = 4,900,468,164/x
  3. Step 3: Cross multiply
    2,976,103,416x = 4,900,468,164 × 4,900,468,164
  4. Step 4: Simplify right side
    2,976,103,416x = 24,014,588,226,377,531,392
  5. Step 5: Solve for x
    x = 24,014,588,226,377,531,392/2,976,103,416
  6. Step 6: Final answer
    x = 8,069,137,684.29

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.