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Finding the Third Proportional to 4,636,836 and 9,911,797

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Solution

The third proportional to 4,636,836 and 9,911,797 is: 21,187,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636,836 : 9,911,797 = 9,911,797 : x
  2. Step 2: Convert to fraction form
    4,636,836/9,911,797 = 9,911,797/x
  3. Step 3: Cross multiply
    4,636,836x = 9,911,797 × 9,911,797
  4. Step 4: Simplify right side
    4,636,836x = 98,243,719,769,209
  5. Step 5: Solve for x
    x = 98,243,719,769,209/4,636,836
  6. Step 6: Final answer
    x = 21,187,663.26

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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.