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Finding the Third Proportional to 29,871,025 and 46,133,273

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Solution

The third proportional to 29,871,025 and 46,133,273 is: 71,248,940.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,871,025 : 46,133,273 = 46,133,273 : x
  2. Step 2: Convert to fraction form
    29,871,025/46,133,273 = 46,133,273/x
  3. Step 3: Cross multiply
    29,871,025x = 46,133,273 × 46,133,273
  4. Step 4: Simplify right side
    29,871,025x = 2,128,278,877,692,529
  5. Step 5: Solve for x
    x = 2,128,278,877,692,529/29,871,025
  6. Step 6: Final answer
    x = 71,248,940.33

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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.