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Finding the Third Proportional to 1,117,652,472 and 2,351,127,492

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Solution

The third proportional to 1,117,652,472 and 2,351,127,492 is: 4,945,902,793.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117,652,472 : 2,351,127,492 = 2,351,127,492 : x
  2. Step 2: Convert to fraction form
    1,117,652,472/2,351,127,492 = 2,351,127,492/x
  3. Step 3: Cross multiply
    1,117,652,472x = 2,351,127,492 × 2,351,127,492
  4. Step 4: Simplify right side
    1,117,652,472x = 5,527,800,483,638,210,560
  5. Step 5: Solve for x
    x = 5,527,800,483,638,210,560/1,117,652,472
  6. Step 6: Final answer
    x = 4,945,902,793.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.