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Finding the Third Proportional to 14,361,121,588 and 31,427,563,688

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Solution

The third proportional to 14,361,121,588 and 31,427,563,688 is: 68,775,391,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,361,121,588 : 31,427,563,688 = 31,427,563,688 : x
  2. Step 2: Convert to fraction form
    14,361,121,588/31,427,563,688 = 31,427,563,688/x
  3. Step 3: Cross multiply
    14,361,121,588x = 31,427,563,688 × 31,427,563,688
  4. Step 4: Simplify right side
    14,361,121,588x = 987,691,759,363,296,198,656
  5. Step 5: Solve for x
    x = 987,691,759,363,296,198,656/14,361,121,588
  6. Step 6: Final answer
    x = 68,775,391,483.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.