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Finding the Third Proportional to 2,931,194.67 and 6,366,983.91

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Solution

The third proportional to 2,931,194.67 and 6,366,983.91 is: 13,830,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931,194.67 : 6,366,983.91 = 6,366,983.91 : x
  2. Step 2: Convert to fraction form
    2,931,194.67/6,366,983.91 = 6,366,983.91/x
  3. Step 3: Cross multiply
    2,931,194.67x = 6,366,983.91 × 6,366,983.91
  4. Step 4: Simplify right side
    2,931,194.67x = 40,538,484,062,446.51
  5. Step 5: Solve for x
    x = 40,538,484,062,446.51/2,931,194.67
  6. Step 6: Final answer
    x = 13,830,021.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.