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Finding the Third Proportional to 10,226,788 and 21,871,968

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Solution

The third proportional to 10,226,788 and 21,871,968 is: 46,777,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226,788 : 21,871,968 = 21,871,968 : x
  2. Step 2: Convert to fraction form
    10,226,788/21,871,968 = 21,871,968/x
  3. Step 3: Cross multiply
    10,226,788x = 21,871,968 × 21,871,968
  4. Step 4: Simplify right side
    10,226,788x = 478,382,984,193,024
  5. Step 5: Solve for x
    x = 478,382,984,193,024/10,226,788
  6. Step 6: Final answer
    x = 46,777,442.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.