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Finding the Third Proportional to 30,771,510 and 48,725,907.50

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Solution

The third proportional to 30,771,510 and 48,725,907.50 is: 77,156,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771,510 : 48,725,907.50 = 48,725,907.50 : x
  2. Step 2: Convert to fraction form
    30,771,510/48,725,907.50 = 48,725,907.50/x
  3. Step 3: Cross multiply
    30,771,510x = 48,725,907.50 × 48,725,907.50
  4. Step 4: Simplify right side
    30,771,510x = 2,374,214,061,698,556
  5. Step 5: Solve for x
    x = 2,374,214,061,698,556/30,771,510
  6. Step 6: Final answer
    x = 77,156,241.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.