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Finding the Third Proportional to 7,005,442,230 and 15,230,254,572

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Solution

The third proportional to 7,005,442,230 and 15,230,254,572 is: 33,111,493,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005,442,230 : 15,230,254,572 = 15,230,254,572 : x
  2. Step 2: Convert to fraction form
    7,005,442,230/15,230,254,572 = 15,230,254,572/x
  3. Step 3: Cross multiply
    7,005,442,230x = 15,230,254,572 × 15,230,254,572
  4. Step 4: Simplify right side
    7,005,442,230x = 231,960,654,327,926,915,072
  5. Step 5: Solve for x
    x = 231,960,654,327,926,915,072/7,005,442,230
  6. Step 6: Final answer
    x = 33,111,493,423.58

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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.