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Finding the Third Proportional to 9,968,961,710 and 21,272,217,628

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Solution

The third proportional to 9,968,961,710 and 21,272,217,628 is: 45,391,612,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968,961,710 : 21,272,217,628 = 21,272,217,628 : x
  2. Step 2: Convert to fraction form
    9,968,961,710/21,272,217,628 = 21,272,217,628/x
  3. Step 3: Cross multiply
    9,968,961,710x = 21,272,217,628 × 21,272,217,628
  4. Step 4: Simplify right side
    9,968,961,710x = 452,507,242,812,993,961,984
  5. Step 5: Solve for x
    x = 452,507,242,812,993,961,984/9,968,961,710
  6. Step 6: Final answer
    x = 45,391,612,083.24

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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.