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Finding the Third Proportional to 76,847,688 and 168,646,536

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Solution

The third proportional to 76,847,688 and 168,646,536 is: 370,104,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,847,688 : 168,646,536 = 168,646,536 : x
  2. Step 2: Convert to fraction form
    76,847,688/168,646,536 = 168,646,536/x
  3. Step 3: Cross multiply
    76,847,688x = 168,646,536 × 168,646,536
  4. Step 4: Simplify right side
    76,847,688x = 28,441,654,104,799,296
  5. Step 5: Solve for x
    x = 28,441,654,104,799,296/76,847,688
  6. Step 6: Final answer
    x = 370,104,226.23

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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.