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Finding the Third Proportional to 596,532,148 and 1,296,321,623

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Solution

The third proportional to 596,532,148 and 1,296,321,623 is: 2,817,031,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,532,148 : 1,296,321,623 = 1,296,321,623 : x
  2. Step 2: Convert to fraction form
    596,532,148/1,296,321,623 = 1,296,321,623/x
  3. Step 3: Cross multiply
    596,532,148x = 1,296,321,623 × 1,296,321,623
  4. Step 4: Simplify right side
    596,532,148x = 1,680,449,750,257,354,240
  5. Step 5: Solve for x
    x = 1,680,449,750,257,354,240/596,532,148
  6. Step 6: Final answer
    x = 2,817,031,329.98

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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.