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Finding the Third Proportional to 66,592,118,313 and 155,386,979,003

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Solution

The third proportional to 66,592,118,313 and 155,386,979,003 is: 362,582,147,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,592,118,313 : 155,386,979,003 = 155,386,979,003 : x
  2. Step 2: Convert to fraction form
    66,592,118,313/155,386,979,003 = 155,386,979,003/x
  3. Step 3: Cross multiply
    66,592,118,313x = 155,386,979,003 × 155,386,979,003
  4. Step 4: Simplify right side
    66,592,118,313x = 24,145,113,243,678,761,025,536
  5. Step 5: Solve for x
    x = 24,145,113,243,678,761,025,536/66,592,118,313
  6. Step 6: Final answer
    x = 362,582,147,187.31

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.