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Finding the Third Proportional to 5,896,886.50 and 12,613,537

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Solution

The third proportional to 5,896,886.50 and 12,613,537 is: 26,980,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896,886.50 : 12,613,537 = 12,613,537 : x
  2. Step 2: Convert to fraction form
    5,896,886.50/12,613,537 = 12,613,537/x
  3. Step 3: Cross multiply
    5,896,886.50x = 12,613,537 × 12,613,537
  4. Step 4: Simplify right side
    5,896,886.50x = 159,101,315,650,369
  5. Step 5: Solve for x
    x = 159,101,315,650,369/5,896,886.50
  6. Step 6: Final answer
    x = 26,980,562.65

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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.