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Finding the Third Proportional to 863,677,111.50 and 1,864,975,149

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Solution

The third proportional to 863,677,111.50 and 1,864,975,149 is: 4,027,121,085.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,677,111.50 : 1,864,975,149 = 1,864,975,149 : x
  2. Step 2: Convert to fraction form
    863,677,111.50/1,864,975,149 = 1,864,975,149/x
  3. Step 3: Cross multiply
    863,677,111.50x = 1,864,975,149 × 1,864,975,149
  4. Step 4: Simplify right side
    863,677,111.50x = 3,478,132,306,387,572,224
  5. Step 5: Solve for x
    x = 3,478,132,306,387,572,224/863,677,111.50
  6. Step 6: Final answer
    x = 4,027,121,085.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.