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Finding the Third Proportional to 45,967,027,929 and 64,703,497,372.50

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Solution

The third proportional to 45,967,027,929 and 64,703,497,372.50 is: 91,077,077,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,967,027,929 : 64,703,497,372.50 = 64,703,497,372.50 : x
  2. Step 2: Convert to fraction form
    45,967,027,929/64,703,497,372.50 = 64,703,497,372.50/x
  3. Step 3: Cross multiply
    45,967,027,929x = 64,703,497,372.50 × 64,703,497,372.50
  4. Step 4: Simplify right side
    45,967,027,929x = 4,186,542,572,233,114,517,504
  5. Step 5: Solve for x
    x = 4,186,542,572,233,114,517,504/45,967,027,929
  6. Step 6: Final answer
    x = 91,077,077,654.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.