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Finding the Third Proportional to 10,871,389.13 and 23,298,984

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Solution

The third proportional to 10,871,389.13 and 23,298,984 is: 49,933,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871,389.13 : 23,298,984 = 23,298,984 : x
  2. Step 2: Convert to fraction form
    10,871,389.13/23,298,984 = 23,298,984/x
  3. Step 3: Cross multiply
    10,871,389.13x = 23,298,984 × 23,298,984
  4. Step 4: Simplify right side
    10,871,389.13x = 542,842,655,432,256
  5. Step 5: Solve for x
    x = 542,842,655,432,256/10,871,389.13
  6. Step 6: Final answer
    x = 49,933,145.54

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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.