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Finding the Third Proportional to 10,226,784 and 21,871,960

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Solution

The third proportional to 10,226,784 and 21,871,960 is: 46,777,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226,784 : 21,871,960 = 21,871,960 : x
  2. Step 2: Convert to fraction form
    10,226,784/21,871,960 = 21,871,960/x
  3. Step 3: Cross multiply
    10,226,784x = 21,871,960 × 21,871,960
  4. Step 4: Simplify right side
    10,226,784x = 478,382,634,241,600
  5. Step 5: Solve for x
    x = 478,382,634,241,600/10,226,784
  6. Step 6: Final answer
    x = 46,777,426.24

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