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Finding the Third Proportional to 6,014,641 and 14,034,646

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Solution

The third proportional to 6,014,641 and 14,034,646 is: 32,748,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014,641 : 14,034,646 = 14,034,646 : x
  2. Step 2: Convert to fraction form
    6,014,641/14,034,646 = 14,034,646/x
  3. Step 3: Cross multiply
    6,014,641x = 14,034,646 × 14,034,646
  4. Step 4: Simplify right side
    6,014,641x = 196,971,288,345,316
  5. Step 5: Solve for x
    x = 196,971,288,345,316/6,014,641
  6. Step 6: Final answer
    x = 32,748,635.93

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.