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Finding the Third Proportional to 31,409,952 and 46,927,296

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Solution

The third proportional to 31,409,952 and 46,927,296 is: 70,110,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409,952 : 46,927,296 = 46,927,296 : x
  2. Step 2: Convert to fraction form
    31,409,952/46,927,296 = 46,927,296/x
  3. Step 3: Cross multiply
    31,409,952x = 46,927,296 × 46,927,296
  4. Step 4: Simplify right side
    31,409,952x = 2,202,171,109,871,616
  5. Step 5: Solve for x
    x = 2,202,171,109,871,616/31,409,952
  6. Step 6: Final answer
    x = 70,110,616.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.