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Finding the Third Proportional to 11,756,137,364 and 25,382,420,712

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Solution

The third proportional to 11,756,137,364 and 25,382,420,712 is: 54,802,632,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756,137,364 : 25,382,420,712 = 25,382,420,712 : x
  2. Step 2: Convert to fraction form
    11,756,137,364/25,382,420,712 = 25,382,420,712/x
  3. Step 3: Cross multiply
    11,756,137,364x = 25,382,420,712 × 25,382,420,712
  4. Step 4: Simplify right side
    11,756,137,364x = 644,267,281,200,966,533,120
  5. Step 5: Solve for x
    x = 644,267,281,200,966,533,120/11,756,137,364
  6. Step 6: Final answer
    x = 54,802,632,978.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.