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Finding the Third Proportional to 536,223,816 and 1,157,096,160

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Solution

The third proportional to 536,223,816 and 1,157,096,160 is: 2,496,852,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,223,816 : 1,157,096,160 = 1,157,096,160 : x
  2. Step 2: Convert to fraction form
    536,223,816/1,157,096,160 = 1,157,096,160/x
  3. Step 3: Cross multiply
    536,223,816x = 1,157,096,160 × 1,157,096,160
  4. Step 4: Simplify right side
    536,223,816x = 1,338,871,523,486,745,600
  5. Step 5: Solve for x
    x = 1,338,871,523,486,745,600/536,223,816
  6. Step 6: Final answer
    x = 2,496,852,029.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.