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Finding the Third Proportional to 9,837,790,118 and 21,243,186,671

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Solution

The third proportional to 9,837,790,118 and 21,243,186,671 is: 45,871,377,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837,790,118 : 21,243,186,671 = 21,243,186,671 : x
  2. Step 2: Convert to fraction form
    9,837,790,118/21,243,186,671 = 21,243,186,671/x
  3. Step 3: Cross multiply
    9,837,790,118x = 21,243,186,671 × 21,243,186,671
  4. Step 4: Simplify right side
    9,837,790,118x = 451,272,979,938,952,085,504
  5. Step 5: Solve for x
    x = 451,272,979,938,952,085,504/9,837,790,118
  6. Step 6: Final answer
    x = 45,871,377,059.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.