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Finding the Third Proportional to 3,196,864.13 and 6,849,717.75

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Solution

The third proportional to 3,196,864.13 and 6,849,717.75 is: 14,676,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196,864.13 : 6,849,717.75 = 6,849,717.75 : x
  2. Step 2: Convert to fraction form
    3,196,864.13/6,849,717.75 = 6,849,717.75/x
  3. Step 3: Cross multiply
    3,196,864.13x = 6,849,717.75 × 6,849,717.75
  4. Step 4: Simplify right side
    3,196,864.13x = 46,918,633,254,665.06
  5. Step 5: Solve for x
    x = 46,918,633,254,665.06/3,196,864.13
  6. Step 6: Final answer
    x = 14,676,455.24

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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.