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Finding the Third Proportional to 34,380,290 and 51,570,440

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Solution

The third proportional to 34,380,290 and 51,570,440 is: 77,355,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,380,290 : 51,570,440 = 51,570,440 : x
  2. Step 2: Convert to fraction form
    34,380,290/51,570,440 = 51,570,440/x
  3. Step 3: Cross multiply
    34,380,290x = 51,570,440 × 51,570,440
  4. Step 4: Simplify right side
    34,380,290x = 2,659,510,281,793,600
  5. Step 5: Solve for x
    x = 2,659,510,281,793,600/34,380,290
  6. Step 6: Final answer
    x = 77,355,667.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.