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Finding the Third Proportional to 312,402,432 and 650,662,184

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Solution

The third proportional to 312,402,432 and 650,662,184 is: 1,355,179,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,402,432 : 650,662,184 = 650,662,184 : x
  2. Step 2: Convert to fraction form
    312,402,432/650,662,184 = 650,662,184/x
  3. Step 3: Cross multiply
    312,402,432x = 650,662,184 × 650,662,184
  4. Step 4: Simplify right side
    312,402,432x = 423,361,277,687,649,856
  5. Step 5: Solve for x
    x = 423,361,277,687,649,856/312,402,432
  6. Step 6: Final answer
    x = 1,355,179,199.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.