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Finding the Third Proportional to 590,161,536 and 1,272,255,101

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Solution

The third proportional to 590,161,536 and 1,272,255,101 is: 2,742,694,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,161,536 : 1,272,255,101 = 1,272,255,101 : x
  2. Step 2: Convert to fraction form
    590,161,536/1,272,255,101 = 1,272,255,101/x
  3. Step 3: Cross multiply
    590,161,536x = 1,272,255,101 × 1,272,255,101
  4. Step 4: Simplify right side
    590,161,536x = 1,618,633,042,020,520,192
  5. Step 5: Solve for x
    x = 1,618,633,042,020,520,192/590,161,536
  6. Step 6: Final answer
    x = 2,742,694,911.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.