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Finding the Third Proportional to 6,261,104,796 and 13,647,210,654

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Solution

The third proportional to 6,261,104,796 and 13,647,210,654 is: 29,746,564,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261,104,796 : 13,647,210,654 = 13,647,210,654 : x
  2. Step 2: Convert to fraction form
    6,261,104,796/13,647,210,654 = 13,647,210,654/x
  3. Step 3: Cross multiply
    6,261,104,796x = 13,647,210,654 × 13,647,210,654
  4. Step 4: Simplify right side
    6,261,104,796x = 186,246,358,634,651,123,712
  5. Step 5: Solve for x
    x = 186,246,358,634,651,123,712/6,261,104,796
  6. Step 6: Final answer
    x = 29,746,564,656.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.