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Finding the Third Proportional to 530,448,347 and 1,115,867,161

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Solution

The third proportional to 530,448,347 and 1,115,867,161 is: 2,347,371,856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,448,347 : 1,115,867,161 = 1,115,867,161 : x
  2. Step 2: Convert to fraction form
    530,448,347/1,115,867,161 = 1,115,867,161/x
  3. Step 3: Cross multiply
    530,448,347x = 1,115,867,161 × 1,115,867,161
  4. Step 4: Simplify right side
    530,448,347x = 1,245,159,520,998,199,808
  5. Step 5: Solve for x
    x = 1,245,159,520,998,199,808/530,448,347
  6. Step 6: Final answer
    x = 2,347,371,856.36

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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.