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Finding the Third Proportional to 1,114,332,768 and 1,674,307,152

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Solution

The third proportional to 1,114,332,768 and 1,674,307,152 is: 2,515,679,803.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,332,768 : 1,674,307,152 = 1,674,307,152 : x
  2. Step 2: Convert to fraction form
    1,114,332,768/1,674,307,152 = 1,674,307,152/x
  3. Step 3: Cross multiply
    1,114,332,768x = 1,674,307,152 × 1,674,307,152
  4. Step 4: Simplify right side
    1,114,332,768x = 2,803,304,439,238,350,848
  5. Step 5: Solve for x
    x = 2,803,304,439,238,350,848/1,114,332,768
  6. Step 6: Final answer
    x = 2,515,679,803.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.