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Finding the Third Proportional to 6,149,011,594,041 and 12,806,973,260,818

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Solution

The third proportional to 6,149,011,594,041 and 12,806,973,260,818 is: 26,673,972,165,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149,011,594,041 : 12,806,973,260,818 = 12,806,973,260,818 : x
  2. Step 2: Convert to fraction form
    6,149,011,594,041/12,806,973,260,818 = 12,806,973,260,818/x
  3. Step 3: Cross multiply
    6,149,011,594,041x = 12,806,973,260,818 × 12,806,973,260,818
  4. Step 4: Simplify right side
    6,149,011,594,041x = 164,018,564,103,307,219,557,154,816
  5. Step 5: Solve for x
    x = 164,018,564,103,307,219,557,154,816/6,149,011,594,041
  6. Step 6: Final answer
    x = 26,673,972,165,259.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.