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Finding the Third Proportional to 10,123,218 and 21,782,709

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Solution

The third proportional to 10,123,218 and 21,782,709 is: 46,871,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123,218 : 21,782,709 = 21,782,709 : x
  2. Step 2: Convert to fraction form
    10,123,218/21,782,709 = 21,782,709/x
  3. Step 3: Cross multiply
    10,123,218x = 21,782,709 × 21,782,709
  4. Step 4: Simplify right side
    10,123,218x = 474,486,411,378,681
  5. Step 5: Solve for x
    x = 474,486,411,378,681/10,123,218
  6. Step 6: Final answer
    x = 46,871,104.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.