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Finding the Third Proportional to 536,223,818 and 1,157,096,164

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Solution

The third proportional to 536,223,818 and 1,157,096,164 is: 2,496,852,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,223,818 : 1,157,096,164 = 1,157,096,164 : x
  2. Step 2: Convert to fraction form
    536,223,818/1,157,096,164 = 1,157,096,164/x
  3. Step 3: Cross multiply
    536,223,818x = 1,157,096,164 × 1,157,096,164
  4. Step 4: Simplify right side
    536,223,818x = 1,338,871,532,743,514,880
  5. Step 5: Solve for x
    x = 1,338,871,532,743,514,880/536,223,818
  6. Step 6: Final answer
    x = 2,496,852,037.90

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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.