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Finding the Third Proportional to 1,149,964,627 and 2,501,414,946

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Solution

The third proportional to 1,149,964,627 and 2,501,414,946 is: 5,441,103,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,964,627 : 2,501,414,946 = 2,501,414,946 : x
  2. Step 2: Convert to fraction form
    1,149,964,627/2,501,414,946 = 2,501,414,946/x
  3. Step 3: Cross multiply
    1,149,964,627x = 2,501,414,946 × 2,501,414,946
  4. Step 4: Simplify right side
    1,149,964,627x = 6,257,076,732,072,182,784
  5. Step 5: Solve for x
    x = 6,257,076,732,072,182,784/1,149,964,627
  6. Step 6: Final answer
    x = 5,441,103,652.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.