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Finding the Third Proportional to 2,756,376,912 and 4,236,749,784

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Solution

The third proportional to 2,756,376,912 and 4,236,749,784 is: 6,512,189,481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756,376,912 : 4,236,749,784 = 4,236,749,784 : x
  2. Step 2: Convert to fraction form
    2,756,376,912/4,236,749,784 = 4,236,749,784/x
  3. Step 3: Cross multiply
    2,756,376,912x = 4,236,749,784 × 4,236,749,784
  4. Step 4: Simplify right side
    2,756,376,912x = 17,950,048,732,224,047,104
  5. Step 5: Solve for x
    x = 17,950,048,732,224,047,104/2,756,376,912
  6. Step 6: Final answer
    x = 6,512,189,481.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.