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Finding the Third Proportional to 4,628,733,101 and 10,141,773,631

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Solution

The third proportional to 4,628,733,101 and 10,141,773,631 is: 22,221,106,756.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628,733,101 : 10,141,773,631 = 10,141,773,631 : x
  2. Step 2: Convert to fraction form
    4,628,733,101/10,141,773,631 = 10,141,773,631/x
  3. Step 3: Cross multiply
    4,628,733,101x = 10,141,773,631 × 10,141,773,631
  4. Step 4: Simplify right side
    4,628,733,101x = 102,855,572,382,446,927,872
  5. Step 5: Solve for x
    x = 102,855,572,382,446,927,872/4,628,733,101
  6. Step 6: Final answer
    x = 22,221,106,756.02

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Why These Related Problems?

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