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Finding the Third Proportional to 6,896,528 and 14,986,816

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Solution

The third proportional to 6,896,528 and 14,986,816 is: 32,567,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896,528 : 14,986,816 = 14,986,816 : x
  2. Step 2: Convert to fraction form
    6,896,528/14,986,816 = 14,986,816/x
  3. Step 3: Cross multiply
    6,896,528x = 14,986,816 × 14,986,816
  4. Step 4: Simplify right side
    6,896,528x = 224,604,653,817,856
  5. Step 5: Solve for x
    x = 224,604,653,817,856/6,896,528
  6. Step 6: Final answer
    x = 32,567,786.84

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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.