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Finding the Third Proportional to 2,815,215.75 and 6,146,495.16

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Solution

The third proportional to 2,815,215.75 and 6,146,495.16 is: 13,419,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815,215.75 : 6,146,495.16 = 6,146,495.16 : x
  2. Step 2: Convert to fraction form
    2,815,215.75/6,146,495.16 = 6,146,495.16/x
  3. Step 3: Cross multiply
    2,815,215.75x = 6,146,495.16 × 6,146,495.16
  4. Step 4: Simplify right side
    2,815,215.75x = 37,779,402,705,804.71
  5. Step 5: Solve for x
    x = 37,779,402,705,804.71/2,815,215.75
  6. Step 6: Final answer
    x = 13,419,718.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.