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Finding the Third Proportional to 10,515,641,810 and 16,334,663,522

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Solution

The third proportional to 10,515,641,810 and 16,334,663,522 is: 25,373,746,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515,641,810 : 16,334,663,522 = 16,334,663,522 : x
  2. Step 2: Convert to fraction form
    10,515,641,810/16,334,663,522 = 16,334,663,522/x
  3. Step 3: Cross multiply
    10,515,641,810x = 16,334,663,522 × 16,334,663,522
  4. Step 4: Simplify right side
    10,515,641,810x = 266,821,232,376,957,435,904
  5. Step 5: Solve for x
    x = 266,821,232,376,957,435,904/10,515,641,810
  6. Step 6: Final answer
    x = 25,373,746,766.77

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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.