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Finding the Third Proportional to 45,374,656 and 69,743,784

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Solution

The third proportional to 45,374,656 and 69,743,784 is: 107,200,711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,374,656 : 69,743,784 = 69,743,784 : x
  2. Step 2: Convert to fraction form
    45,374,656/69,743,784 = 69,743,784/x
  3. Step 3: Cross multiply
    45,374,656x = 69,743,784 × 69,743,784
  4. Step 4: Simplify right side
    45,374,656x = 4,864,195,406,638,656
  5. Step 5: Solve for x
    x = 4,864,195,406,638,656/45,374,656
  6. Step 6: Final answer
    x = 107,200,711.49

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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.