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Finding the Third Proportional to 293,215,707 and 430,848,180

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Solution

The third proportional to 293,215,707 and 430,848,180 is: 633,083,937.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,215,707 : 430,848,180 = 430,848,180 : x
  2. Step 2: Convert to fraction form
    293,215,707/430,848,180 = 430,848,180/x
  3. Step 3: Cross multiply
    293,215,707x = 430,848,180 × 430,848,180
  4. Step 4: Simplify right side
    293,215,707x = 185,630,154,209,312,384
  5. Step 5: Solve for x
    x = 185,630,154,209,312,384/293,215,707
  6. Step 6: Final answer
    x = 633,083,937.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.