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Finding the Third Proportional to 30,963,464 and 49,191,178

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Solution

The third proportional to 30,963,464 and 49,191,178 is: 78,149,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,963,464 : 49,191,178 = 49,191,178 : x
  2. Step 2: Convert to fraction form
    30,963,464/49,191,178 = 49,191,178/x
  3. Step 3: Cross multiply
    30,963,464x = 49,191,178 × 49,191,178
  4. Step 4: Simplify right side
    30,963,464x = 2,419,771,993,027,684
  5. Step 5: Solve for x
    x = 2,419,771,993,027,684/30,963,464
  6. Step 6: Final answer
    x = 78,149,266.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.