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Finding the Third Proportional to 653,118,756 and 1,410,134,514

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Solution

The third proportional to 653,118,756 and 1,410,134,514 is: 3,044,590,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,118,756 : 1,410,134,514 = 1,410,134,514 : x
  2. Step 2: Convert to fraction form
    653,118,756/1,410,134,514 = 1,410,134,514/x
  3. Step 3: Cross multiply
    653,118,756x = 1,410,134,514 × 1,410,134,514
  4. Step 4: Simplify right side
    653,118,756x = 1,988,479,347,574,016,256
  5. Step 5: Solve for x
    x = 1,988,479,347,574,016,256/653,118,756
  6. Step 6: Final answer
    x = 3,044,590,787.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.