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Finding the Third Proportional to 25,295,746,198 and 39,294,577,868

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Solution

The third proportional to 25,295,746,198 and 39,294,577,868 is: 61,040,454,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,295,746,198 : 39,294,577,868 = 39,294,577,868 : x
  2. Step 2: Convert to fraction form
    25,295,746,198/39,294,577,868 = 39,294,577,868/x
  3. Step 3: Cross multiply
    25,295,746,198x = 39,294,577,868 × 39,294,577,868
  4. Step 4: Simplify right side
    25,295,746,198x = 1,544,063,849,824,315,506,688
  5. Step 5: Solve for x
    x = 1,544,063,849,824,315,506,688/25,295,746,198
  6. Step 6: Final answer
    x = 61,040,454,696.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.