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Finding the Third Proportional to 6,896,577 and 14,986,896

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Solution

The third proportional to 6,896,577 and 14,986,896 is: 32,567,903.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896,577 : 14,986,896 = 14,986,896 : x
  2. Step 2: Convert to fraction form
    6,896,577/14,986,896 = 14,986,896/x
  3. Step 3: Cross multiply
    6,896,577x = 14,986,896 × 14,986,896
  4. Step 4: Simplify right side
    6,896,577x = 224,607,051,714,816
  5. Step 5: Solve for x
    x = 224,607,051,714,816/6,896,577
  6. Step 6: Final answer
    x = 32,567,903.14

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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.