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Finding the Third Proportional to 10,064,238 and 21,721,944

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Solution

The third proportional to 10,064,238 and 21,721,944 is: 46,883,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064,238 : 21,721,944 = 21,721,944 : x
  2. Step 2: Convert to fraction form
    10,064,238/21,721,944 = 21,721,944/x
  3. Step 3: Cross multiply
    10,064,238x = 21,721,944 × 21,721,944
  4. Step 4: Simplify right side
    10,064,238x = 471,842,851,139,136
  5. Step 5: Solve for x
    x = 471,842,851,139,136/10,064,238
  6. Step 6: Final answer
    x = 46,883,117.34

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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.