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Finding the Third Proportional to 29,531,344.50 and 46,220,503.50

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Solution

The third proportional to 29,531,344.50 and 46,220,503.50 is: 72,341,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,531,344.50 : 46,220,503.50 = 46,220,503.50 : x
  2. Step 2: Convert to fraction form
    29,531,344.50/46,220,503.50 = 46,220,503.50/x
  3. Step 3: Cross multiply
    29,531,344.50x = 46,220,503.50 × 46,220,503.50
  4. Step 4: Simplify right side
    29,531,344.50x = 2,136,334,943,793,512.25
  5. Step 5: Solve for x
    x = 2,136,334,943,793,512.25/29,531,344.50
  6. Step 6: Final answer
    x = 72,341,269.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.