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Finding the Third Proportional to 409,710,230 and 901,141,968

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Solution

The third proportional to 409,710,230 and 901,141,968 is: 1,982,027,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,710,230 : 901,141,968 = 901,141,968 : x
  2. Step 2: Convert to fraction form
    409,710,230/901,141,968 = 901,141,968/x
  3. Step 3: Cross multiply
    409,710,230x = 901,141,968 × 901,141,968
  4. Step 4: Simplify right side
    409,710,230x = 812,056,846,490,913,024
  5. Step 5: Solve for x
    x = 812,056,846,490,913,024/409,710,230
  6. Step 6: Final answer
    x = 1,982,027,264.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.