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Finding the Third Proportional to 55,544,797,206 and 121,701,283,560

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Solution

The third proportional to 55,544,797,206 and 121,701,283,560 is: 266,653,281,048.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,544,797,206 : 121,701,283,560 = 121,701,283,560 : x
  2. Step 2: Convert to fraction form
    55,544,797,206/121,701,283,560 = 121,701,283,560/x
  3. Step 3: Cross multiply
    55,544,797,206x = 121,701,283,560 × 121,701,283,560
  4. Step 4: Simplify right side
    55,544,797,206x = 14,811,202,420,151,525,834,752
  5. Step 5: Solve for x
    x = 14,811,202,420,151,525,834,752/55,544,797,206
  6. Step 6: Final answer
    x = 266,653,281,048.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.