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Finding the Third Proportional to 463,708,928 and 1,000,057,144

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Solution

The third proportional to 463,708,928 and 1,000,057,144 is: 2,156,771,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,708,928 : 1,000,057,144 = 1,000,057,144 : x
  2. Step 2: Convert to fraction form
    463,708,928/1,000,057,144 = 1,000,057,144/x
  3. Step 3: Cross multiply
    463,708,928x = 1,000,057,144 × 1,000,057,144
  4. Step 4: Simplify right side
    463,708,928x = 1,000,114,291,265,436,672
  5. Step 5: Solve for x
    x = 1,000,114,291,265,436,672/463,708,928
  6. Step 6: Final answer
    x = 2,156,771,696.37

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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.