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Finding the Third Proportional to 44,733,005 and 97,839,465

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Solution

The third proportional to 44,733,005 and 97,839,465 is: 213,993,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,733,005 : 97,839,465 = 97,839,465 : x
  2. Step 2: Convert to fraction form
    44,733,005/97,839,465 = 97,839,465/x
  3. Step 3: Cross multiply
    44,733,005x = 97,839,465 × 97,839,465
  4. Step 4: Simplify right side
    44,733,005x = 9,572,560,911,486,224
  5. Step 5: Solve for x
    x = 9,572,560,911,486,224/44,733,005
  6. Step 6: Final answer
    x = 213,993,245.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.