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Finding the Third Proportional to 337,224,681 and 505,836,967.50

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Solution

The third proportional to 337,224,681 and 505,836,967.50 is: 758,755,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,224,681 : 505,836,967.50 = 505,836,967.50 : x
  2. Step 2: Convert to fraction form
    337,224,681/505,836,967.50 = 505,836,967.50/x
  3. Step 3: Cross multiply
    337,224,681x = 505,836,967.50 × 505,836,967.50
  4. Step 4: Simplify right side
    337,224,681x = 255,871,037,689,596,064
  5. Step 5: Solve for x
    x = 255,871,037,689,596,064/337,224,681
  6. Step 6: Final answer
    x = 758,755,370.25

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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.