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Finding the Third Proportional to 7,037,412,005 and 10,326,053,613

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Solution

The third proportional to 7,037,412,005 and 10,326,053,613 is: 15,151,505,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037,412,005 : 10,326,053,613 = 10,326,053,613 : x
  2. Step 2: Convert to fraction form
    7,037,412,005/10,326,053,613 = 10,326,053,613/x
  3. Step 3: Cross multiply
    7,037,412,005x = 10,326,053,613 × 10,326,053,613
  4. Step 4: Simplify right side
    7,037,412,005x = 106,627,383,218,550,358,016
  5. Step 5: Solve for x
    x = 106,627,383,218,550,358,016/7,037,412,005
  6. Step 6: Final answer
    x = 15,151,505,005.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.