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Finding the Third Proportional to 10,504,077,442 and 22,685,297,764

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Solution

The third proportional to 10,504,077,442 and 22,685,297,764 is: 48,992,663,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504,077,442 : 22,685,297,764 = 22,685,297,764 : x
  2. Step 2: Convert to fraction form
    10,504,077,442/22,685,297,764 = 22,685,297,764/x
  3. Step 3: Cross multiply
    10,504,077,442x = 22,685,297,764 × 22,685,297,764
  4. Step 4: Simplify right side
    10,504,077,442x = 514,622,734,641,343,430,656
  5. Step 5: Solve for x
    x = 514,622,734,641,343,430,656/10,504,077,442
  6. Step 6: Final answer
    x = 48,992,663,799.65

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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.