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Finding the Third Proportional to 3,006,536,112 and 4,599,663,624

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Solution

The third proportional to 3,006,536,112 and 4,599,663,624 is: 7,036,970,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006,536,112 : 4,599,663,624 = 4,599,663,624 : x
  2. Step 2: Convert to fraction form
    3,006,536,112/4,599,663,624 = 4,599,663,624/x
  3. Step 3: Cross multiply
    3,006,536,112x = 4,599,663,624 × 4,599,663,624
  4. Step 4: Simplify right side
    3,006,536,112x = 21,156,905,453,948,813,312
  5. Step 5: Solve for x
    x = 21,156,905,453,948,813,312/3,006,536,112
  6. Step 6: Final answer
    x = 7,036,970,342.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.