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Finding the Third Proportional to 7,781,688 and 12,431,412

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Solution

The third proportional to 7,781,688 and 12,431,412 is: 19,859,444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781,688 : 12,431,412 = 12,431,412 : x
  2. Step 2: Convert to fraction form
    7,781,688/12,431,412 = 12,431,412/x
  3. Step 3: Cross multiply
    7,781,688x = 12,431,412 × 12,431,412
  4. Step 4: Simplify right side
    7,781,688x = 154,540,004,313,744
  5. Step 5: Solve for x
    x = 154,540,004,313,744/7,781,688
  6. Step 6: Final answer
    x = 19,859,444.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.