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Finding the Third Proportional to 31,449,972 and 46,129,531.50

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Solution

The third proportional to 31,449,972 and 46,129,531.50 is: 67,660,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,449,972 : 46,129,531.50 = 46,129,531.50 : x
  2. Step 2: Convert to fraction form
    31,449,972/46,129,531.50 = 46,129,531.50/x
  3. Step 3: Cross multiply
    31,449,972x = 46,129,531.50 × 46,129,531.50
  4. Step 4: Simplify right side
    31,449,972x = 2,127,933,676,409,492.25
  5. Step 5: Solve for x
    x = 2,127,933,676,409,492.25/31,449,972
  6. Step 6: Final answer
    x = 67,660,908.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.