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Finding the Third Proportional to 7,618,814 and 16,270,896

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Solution

The third proportional to 7,618,814 and 16,270,896 is: 34,748,460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618,814 : 16,270,896 = 16,270,896 : x
  2. Step 2: Convert to fraction form
    7,618,814/16,270,896 = 16,270,896/x
  3. Step 3: Cross multiply
    7,618,814x = 16,270,896 × 16,270,896
  4. Step 4: Simplify right side
    7,618,814x = 264,742,056,642,816
  5. Step 5: Solve for x
    x = 264,742,056,642,816/7,618,814
  6. Step 6: Final answer
    x = 34,748,460.41

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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.