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Finding the Third Proportional to 6,288,384 and 13,473,952

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Solution

The third proportional to 6,288,384 and 13,473,952 is: 28,870,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288,384 : 13,473,952 = 13,473,952 : x
  2. Step 2: Convert to fraction form
    6,288,384/13,473,952 = 13,473,952/x
  3. Step 3: Cross multiply
    6,288,384x = 13,473,952 × 13,473,952
  4. Step 4: Simplify right side
    6,288,384x = 181,547,382,498,304
  5. Step 5: Solve for x
    x = 181,547,382,498,304/6,288,384
  6. Step 6: Final answer
    x = 28,870,276.13

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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.