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Finding the Third Proportional to 9,968,961,716 and 21,272,217,640

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Solution

The third proportional to 9,968,961,716 and 21,272,217,640 is: 45,391,612,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968,961,716 : 21,272,217,640 = 21,272,217,640 : x
  2. Step 2: Convert to fraction form
    9,968,961,716/21,272,217,640 = 21,272,217,640/x
  3. Step 3: Cross multiply
    9,968,961,716x = 21,272,217,640 × 21,272,217,640
  4. Step 4: Simplify right side
    9,968,961,716x = 452,507,243,323,527,200,768
  5. Step 5: Solve for x
    x = 452,507,243,323,527,200,768/9,968,961,716
  6. Step 6: Final answer
    x = 45,391,612,107.13

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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.