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Finding the Third Proportional to 12,661,301,814 and 26,960,150,494.50

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Solution

The third proportional to 12,661,301,814 and 26,960,150,494.50 is: 57,407,186,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661,301,814 : 26,960,150,494.50 = 26,960,150,494.50 : x
  2. Step 2: Convert to fraction form
    12,661,301,814/26,960,150,494.50 = 26,960,150,494.50/x
  3. Step 3: Cross multiply
    12,661,301,814x = 26,960,150,494.50 × 26,960,150,494.50
  4. Step 4: Simplify right side
    12,661,301,814x = 726,849,714,686,088,577,024
  5. Step 5: Solve for x
    x = 726,849,714,686,088,577,024/12,661,301,814
  6. Step 6: Final answer
    x = 57,407,186,509.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.