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Finding the Third Proportional to 5,910,681 and 12,764,417

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Solution

The third proportional to 5,910,681 and 12,764,417 is: 27,565,409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910,681 : 12,764,417 = 12,764,417 : x
  2. Step 2: Convert to fraction form
    5,910,681/12,764,417 = 12,764,417/x
  3. Step 3: Cross multiply
    5,910,681x = 12,764,417 × 12,764,417
  4. Step 4: Simplify right side
    5,910,681x = 162,930,341,349,889
  5. Step 5: Solve for x
    x = 162,930,341,349,889/5,910,681
  6. Step 6: Final answer
    x = 27,565,409.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.