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Finding the Third Proportional to 9,471,227.91 and 13,852,547.44

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Solution

The third proportional to 9,471,227.91 and 13,852,547.44 is: 20,260,632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471,227.91 : 13,852,547.44 = 13,852,547.44 : x
  2. Step 2: Convert to fraction form
    9,471,227.91/13,852,547.44 = 13,852,547.44/x
  3. Step 3: Cross multiply
    9,471,227.91x = 13,852,547.44 × 13,852,547.44
  4. Step 4: Simplify right side
    9,471,227.91x = 191,893,070,508,187.81
  5. Step 5: Solve for x
    x = 191,893,070,508,187.81/9,471,227.91
  6. Step 6: Final answer
    x = 20,260,632.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.