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Finding the Third Proportional to 1,497,564,612 and 3,339,267,120

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Solution

The third proportional to 1,497,564,612 and 3,339,267,120 is: 7,445,892,357.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,564,612 : 3,339,267,120 = 3,339,267,120 : x
  2. Step 2: Convert to fraction form
    1,497,564,612/3,339,267,120 = 3,339,267,120/x
  3. Step 3: Cross multiply
    1,497,564,612x = 3,339,267,120 × 3,339,267,120
  4. Step 4: Simplify right side
    1,497,564,612x = 11,150,704,898,713,094,144
  5. Step 5: Solve for x
    x = 11,150,704,898,713,094,144/1,497,564,612
  6. Step 6: Final answer
    x = 7,445,892,357.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.