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Finding the Third Proportional to 6,149,011,594,043 and 12,806,973,260,822

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Solution

The third proportional to 6,149,011,594,043 and 12,806,973,260,822 is: 26,673,972,165,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149,011,594,043 : 12,806,973,260,822 = 12,806,973,260,822 : x
  2. Step 2: Convert to fraction form
    6,149,011,594,043/12,806,973,260,822 = 12,806,973,260,822/x
  3. Step 3: Cross multiply
    6,149,011,594,043x = 12,806,973,260,822 × 12,806,973,260,822
  4. Step 4: Simplify right side
    6,149,011,594,043x = 164,018,564,103,409,680,296,968,192
  5. Step 5: Solve for x
    x = 164,018,564,103,409,680,296,968,192/6,149,011,594,043
  6. Step 6: Final answer
    x = 26,673,972,165,267.43

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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.