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Finding the Third Proportional to 596,532,157.50 and 1,296,321,643.50

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Solution

The third proportional to 596,532,157.50 and 1,296,321,643.50 is: 2,817,031,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,532,157.50 : 1,296,321,643.50 = 1,296,321,643.50 : x
  2. Step 2: Convert to fraction form
    596,532,157.50/1,296,321,643.50 = 1,296,321,643.50/x
  3. Step 3: Cross multiply
    596,532,157.50x = 1,296,321,643.50 × 1,296,321,643.50
  4. Step 4: Simplify right side
    596,532,157.50x = 1,680,449,803,406,541,056
  5. Step 5: Solve for x
    x = 1,680,449,803,406,541,056/596,532,157.50
  6. Step 6: Final answer
    x = 2,817,031,374.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.