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Finding the Third Proportional to 2,102,475,168 and 4,867,094,160

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Solution

The third proportional to 2,102,475,168 and 4,867,094,160 is: 11,267,008,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,475,168 : 4,867,094,160 = 4,867,094,160 : x
  2. Step 2: Convert to fraction form
    2,102,475,168/4,867,094,160 = 4,867,094,160/x
  3. Step 3: Cross multiply
    2,102,475,168x = 4,867,094,160 × 4,867,094,160
  4. Step 4: Simplify right side
    2,102,475,168x = 23,688,605,562,306,105,344
  5. Step 5: Solve for x
    x = 23,688,605,562,306,105,344/2,102,475,168
  6. Step 6: Final answer
    x = 11,267,008,487.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.