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Finding the Third Proportional to 9,968,961,704 and 21,272,217,616

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Solution

The third proportional to 9,968,961,704 and 21,272,217,616 is: 45,391,612,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968,961,704 : 21,272,217,616 = 21,272,217,616 : x
  2. Step 2: Convert to fraction form
    9,968,961,704/21,272,217,616 = 21,272,217,616/x
  3. Step 3: Cross multiply
    9,968,961,704x = 21,272,217,616 × 21,272,217,616
  4. Step 4: Simplify right side
    9,968,961,704x = 452,507,242,302,460,723,200
  5. Step 5: Solve for x
    x = 452,507,242,302,460,723,200/9,968,961,704
  6. Step 6: Final answer
    x = 45,391,612,059.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.