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Finding the Third Proportional to 593,239,526.25 and 1,253,739,416.25

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Solution

The third proportional to 593,239,526.25 and 1,253,739,416.25 is: 2,649,625,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,239,526.25 : 1,253,739,416.25 = 1,253,739,416.25 : x
  2. Step 2: Convert to fraction form
    593,239,526.25/1,253,739,416.25 = 1,253,739,416.25/x
  3. Step 3: Cross multiply
    593,239,526.25x = 1,253,739,416.25 × 1,253,739,416.25
  4. Step 4: Simplify right side
    593,239,526.25x = 1,571,862,523,858,890,752
  5. Step 5: Solve for x
    x = 1,571,862,523,858,890,752/593,239,526.25
  6. Step 6: Final answer
    x = 2,649,625,411.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.