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Finding the Third Proportional to 1,020,673,091 and 2,226,081,100

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Solution

The third proportional to 1,020,673,091 and 2,226,081,100 is: 4,855,067,805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,673,091 : 2,226,081,100 = 2,226,081,100 : x
  2. Step 2: Convert to fraction form
    1,020,673,091/2,226,081,100 = 2,226,081,100/x
  3. Step 3: Cross multiply
    1,020,673,091x = 2,226,081,100 × 2,226,081,100
  4. Step 4: Simplify right side
    1,020,673,091x = 4,955,437,063,777,210,368
  5. Step 5: Solve for x
    x = 4,955,437,063,777,210,368/1,020,673,091
  6. Step 6: Final answer
    x = 4,855,067,805.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.