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Finding the Third Proportional to 29,871,020 and 46,133,265

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Solution

The third proportional to 29,871,020 and 46,133,265 is: 71,248,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,871,020 : 46,133,265 = 46,133,265 : x
  2. Step 2: Convert to fraction form
    29,871,020/46,133,265 = 46,133,265/x
  3. Step 3: Cross multiply
    29,871,020x = 46,133,265 × 46,133,265
  4. Step 4: Simplify right side
    29,871,020x = 2,128,278,139,560,225
  5. Step 5: Solve for x
    x = 2,128,278,139,560,225/29,871,020
  6. Step 6: Final answer
    x = 71,248,927.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.