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Finding the Third Proportional to 6,387,761,654 and 13,900,329,004

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Solution

The third proportional to 6,387,761,654 and 13,900,329,004 is: 30,248,333,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387,761,654 : 13,900,329,004 = 13,900,329,004 : x
  2. Step 2: Convert to fraction form
    6,387,761,654/13,900,329,004 = 13,900,329,004/x
  3. Step 3: Cross multiply
    6,387,761,654x = 13,900,329,004 × 13,900,329,004
  4. Step 4: Simplify right side
    6,387,761,654x = 193,219,146,419,443,630,080
  5. Step 5: Solve for x
    x = 193,219,146,419,443,630,080/6,387,761,654
  6. Step 6: Final answer
    x = 30,248,333,749.03

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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.