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Finding the Third Proportional to 945,900,021 and 2,210,049,265.50

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Solution

The third proportional to 945,900,021 and 2,210,049,265.50 is: 5,163,672,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,900,021 : 2,210,049,265.50 = 2,210,049,265.50 : x
  2. Step 2: Convert to fraction form
    945,900,021/2,210,049,265.50 = 2,210,049,265.50/x
  3. Step 3: Cross multiply
    945,900,021x = 2,210,049,265.50 × 2,210,049,265.50
  4. Step 4: Simplify right side
    945,900,021x = 4,884,317,755,937,089,536
  5. Step 5: Solve for x
    x = 4,884,317,755,937,089,536/945,900,021
  6. Step 6: Final answer
    x = 5,163,672,320.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.