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Finding the Third Proportional to 10,222,497,481.50 and 15,703,007,756.50

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Solution

The third proportional to 10,222,497,481.50 and 15,703,007,756.50 is: 24,121,742,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222,497,481.50 : 15,703,007,756.50 = 15,703,007,756.50 : x
  2. Step 2: Convert to fraction form
    10,222,497,481.50/15,703,007,756.50 = 15,703,007,756.50/x
  3. Step 3: Cross multiply
    10,222,497,481.50x = 15,703,007,756.50 × 15,703,007,756.50
  4. Step 4: Simplify right side
    10,222,497,481.50x = 246,584,452,600,699,158,528
  5. Step 5: Solve for x
    x = 246,584,452,600,699,158,528/10,222,497,481.50
  6. Step 6: Final answer
    x = 24,121,742,563.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.