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Finding the Third Proportional to 31,884,090 and 50,758,335

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Solution

The third proportional to 31,884,090 and 50,758,335 is: 80,805,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,884,090 : 50,758,335 = 50,758,335 : x
  2. Step 2: Convert to fraction form
    31,884,090/50,758,335 = 50,758,335/x
  3. Step 3: Cross multiply
    31,884,090x = 50,758,335 × 50,758,335
  4. Step 4: Simplify right side
    31,884,090x = 2,576,408,571,972,225
  5. Step 5: Solve for x
    x = 2,576,408,571,972,225/31,884,090
  6. Step 6: Final answer
    x = 80,805,460.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.