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Finding the Third Proportional to 34,089,976 and 72,966,196

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Solution

The third proportional to 34,089,976 and 72,966,196 is: 156,176,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,089,976 : 72,966,196 = 72,966,196 : x
  2. Step 2: Convert to fraction form
    34,089,976/72,966,196 = 72,966,196/x
  3. Step 3: Cross multiply
    34,089,976x = 72,966,196 × 72,966,196
  4. Step 4: Simplify right side
    34,089,976x = 5,324,065,758,710,416
  5. Step 5: Solve for x
    x = 5,324,065,758,710,416/34,089,976
  6. Step 6: Final answer
    x = 156,176,870.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.