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Finding the Third Proportional to 6,896,496 and 14,986,740

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Solution

The third proportional to 6,896,496 and 14,986,740 is: 32,567,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896,496 : 14,986,740 = 14,986,740 : x
  2. Step 2: Convert to fraction form
    6,896,496/14,986,740 = 14,986,740/x
  3. Step 3: Cross multiply
    6,896,496x = 14,986,740 × 14,986,740
  4. Step 4: Simplify right side
    6,896,496x = 224,602,375,827,600
  5. Step 5: Solve for x
    x = 224,602,375,827,600/6,896,496
  6. Step 6: Final answer
    x = 32,567,607.64

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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.