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Finding the Third Proportional to 1,617,236,464 and 2,484,273,024

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Solution

The third proportional to 1,617,236,464 and 2,484,273,024 is: 3,816,147,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,236,464 : 2,484,273,024 = 2,484,273,024 : x
  2. Step 2: Convert to fraction form
    1,617,236,464/2,484,273,024 = 2,484,273,024/x
  3. Step 3: Cross multiply
    1,617,236,464x = 2,484,273,024 × 2,484,273,024
  4. Step 4: Simplify right side
    1,617,236,464x = 6,171,612,457,774,104,576
  5. Step 5: Solve for x
    x = 6,171,612,457,774,104,576/1,617,236,464
  6. Step 6: Final answer
    x = 3,816,147,233.35

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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.