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Finding the Third Proportional to 2,295,405,264 and 4,909,937,564

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Solution

The third proportional to 2,295,405,264 and 4,909,937,564 is: 10,502,496,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295,405,264 : 4,909,937,564 = 4,909,937,564 : x
  2. Step 2: Convert to fraction form
    2,295,405,264/4,909,937,564 = 4,909,937,564/x
  3. Step 3: Cross multiply
    2,295,405,264x = 4,909,937,564 × 4,909,937,564
  4. Step 4: Simplify right side
    2,295,405,264x = 24,107,486,882,378,252,288
  5. Step 5: Solve for x
    x = 24,107,486,882,378,252,288/2,295,405,264
  6. Step 6: Final answer
    x = 10,502,496,992.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.