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Finding the Third Proportional to 6,283,824 and 9,830,091

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Solution

The third proportional to 6,283,824 and 9,830,091 is: 15,377,688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,824 : 9,830,091 = 9,830,091 : x
  2. Step 2: Convert to fraction form
    6,283,824/9,830,091 = 9,830,091/x
  3. Step 3: Cross multiply
    6,283,824x = 9,830,091 × 9,830,091
  4. Step 4: Simplify right side
    6,283,824x = 96,630,689,068,281
  5. Step 5: Solve for x
    x = 96,630,689,068,281/6,283,824
  6. Step 6: Final answer
    x = 15,377,688.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.