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Finding the Third Proportional to 7,024,609,796 and 15,168,820,572

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Solution

The third proportional to 7,024,609,796 and 15,168,820,572 is: 32,755,288,083.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024,609,796 : 15,168,820,572 = 15,168,820,572 : x
  2. Step 2: Convert to fraction form
    7,024,609,796/15,168,820,572 = 15,168,820,572/x
  3. Step 3: Cross multiply
    7,024,609,796x = 15,168,820,572 × 15,168,820,572
  4. Step 4: Simplify right side
    7,024,609,796x = 230,093,117,545,530,392,576
  5. Step 5: Solve for x
    x = 230,093,117,545,530,392,576/7,024,609,796
  6. Step 6: Final answer
    x = 32,755,288,083.98

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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.