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Finding the Third Proportional to 536,217,687 and 1,157,083,848

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Solution

The third proportional to 536,217,687 and 1,157,083,848 is: 2,496,827,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,217,687 : 1,157,083,848 = 1,157,083,848 : x
  2. Step 2: Convert to fraction form
    536,217,687/1,157,083,848 = 1,157,083,848/x
  3. Step 3: Cross multiply
    536,217,687x = 1,157,083,848 × 1,157,083,848
  4. Step 4: Simplify right side
    536,217,687x = 1,338,843,031,302,487,040
  5. Step 5: Solve for x
    x = 1,338,843,031,302,487,040/536,217,687
  6. Step 6: Final answer
    x = 2,496,827,433.64

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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.