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Finding the Third Proportional to 4,643,646 and 7,175,613

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Solution

The third proportional to 4,643,646 and 7,175,613 is: 11,088,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643,646 : 7,175,613 = 7,175,613 : x
  2. Step 2: Convert to fraction form
    4,643,646/7,175,613 = 7,175,613/x
  3. Step 3: Cross multiply
    4,643,646x = 7,175,613 × 7,175,613
  4. Step 4: Simplify right side
    4,643,646x = 51,489,421,925,769
  5. Step 5: Solve for x
    x = 51,489,421,925,769/4,643,646
  6. Step 6: Final answer
    x = 11,088,145.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.