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Finding the Third Proportional to 350,099,652 and 761,847,432

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Solution

The third proportional to 350,099,652 and 761,847,432 is: 1,657,846,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,099,652 : 761,847,432 = 761,847,432 : x
  2. Step 2: Convert to fraction form
    350,099,652/761,847,432 = 761,847,432/x
  3. Step 3: Cross multiply
    350,099,652x = 761,847,432 × 761,847,432
  4. Step 4: Simplify right side
    350,099,652x = 580,411,509,644,994,560
  5. Step 5: Solve for x
    x = 580,411,509,644,994,560/350,099,652
  6. Step 6: Final answer
    x = 1,657,846,576.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.