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Finding the Third Proportional to 1,004,070,033 and 2,169,476,696

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Solution

The third proportional to 1,004,070,033 and 2,169,476,696 is: 4,687,550,648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,070,033 : 2,169,476,696 = 2,169,476,696 : x
  2. Step 2: Convert to fraction form
    1,004,070,033/2,169,476,696 = 2,169,476,696/x
  3. Step 3: Cross multiply
    1,004,070,033x = 2,169,476,696 × 2,169,476,696
  4. Step 4: Simplify right side
    1,004,070,033x = 4,706,629,134,487,076,864
  5. Step 5: Solve for x
    x = 4,706,629,134,487,076,864/1,004,070,033
  6. Step 6: Final answer
    x = 4,687,550,648.66

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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.