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Finding the Third Proportional to 5,785,931,073 and 12,558,216,642

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Solution

The third proportional to 5,785,931,073 and 12,558,216,642 is: 27,257,290,700.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785,931,073 : 12,558,216,642 = 12,558,216,642 : x
  2. Step 2: Convert to fraction form
    5,785,931,073/12,558,216,642 = 12,558,216,642/x
  3. Step 3: Cross multiply
    5,785,931,073x = 12,558,216,642 × 12,558,216,642
  4. Step 4: Simplify right side
    5,785,931,073x = 157,708,805,227,405,770,752
  5. Step 5: Solve for x
    x = 157,708,805,227,405,770,752/5,785,931,073
  6. Step 6: Final answer
    x = 27,257,290,700.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.