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Finding the Third Proportional to 251,784,972 and 541,833,693

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Solution

The third proportional to 251,784,972 and 541,833,693 is: 1,166,009,823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,784,972 : 541,833,693 = 541,833,693 : x
  2. Step 2: Convert to fraction form
    251,784,972/541,833,693 = 541,833,693/x
  3. Step 3: Cross multiply
    251,784,972x = 541,833,693 × 541,833,693
  4. Step 4: Simplify right side
    251,784,972x = 293,583,750,870,018,240
  5. Step 5: Solve for x
    x = 293,583,750,870,018,240/251,784,972
  6. Step 6: Final answer
    x = 1,166,009,823.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.