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Finding the Third Proportional to 435,351,072 and 947,226,732

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Solution

The third proportional to 435,351,072 and 947,226,732 is: 2,060,953,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,351,072 : 947,226,732 = 947,226,732 : x
  2. Step 2: Convert to fraction form
    435,351,072/947,226,732 = 947,226,732/x
  3. Step 3: Cross multiply
    435,351,072x = 947,226,732 × 947,226,732
  4. Step 4: Simplify right side
    435,351,072x = 897,238,481,815,399,808
  5. Step 5: Solve for x
    x = 897,238,481,815,399,808/435,351,072
  6. Step 6: Final answer
    x = 2,060,953,881.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.