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Finding the Third Proportional to 45,374,628 and 69,743,748

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Solution

The third proportional to 45,374,628 and 69,743,748 is: 107,200,666.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,374,628 : 69,743,748 = 69,743,748 : x
  2. Step 2: Convert to fraction form
    45,374,628/69,743,748 = 69,743,748/x
  3. Step 3: Cross multiply
    45,374,628x = 69,743,748 × 69,743,748
  4. Step 4: Simplify right side
    45,374,628x = 4,864,190,385,087,504
  5. Step 5: Solve for x
    x = 4,864,190,385,087,504/45,374,628
  6. Step 6: Final answer
    x = 107,200,666.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.