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Finding the Third Proportional to 33,012,682.88 and 72,402,657.75

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Solution

The third proportional to 33,012,682.88 and 72,402,657.75 is: 158,791,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012,682.88 : 72,402,657.75 = 72,402,657.75 : x
  2. Step 2: Convert to fraction form
    33,012,682.88/72,402,657.75 = 72,402,657.75/x
  3. Step 3: Cross multiply
    33,012,682.88x = 72,402,657.75 × 72,402,657.75
  4. Step 4: Simplify right side
    33,012,682.88x = 5,242,144,849,263,635
  5. Step 5: Solve for x
    x = 5,242,144,849,263,635/33,012,682.88
  6. Step 6: Final answer
    x = 158,791,845.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.