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Finding the Third Proportional to 3,074,988,196 and 4,592,332,134

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Solution

The third proportional to 3,074,988,196 and 4,592,332,134 is: 6,858,405,003.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074,988,196 : 4,592,332,134 = 4,592,332,134 : x
  2. Step 2: Convert to fraction form
    3,074,988,196/4,592,332,134 = 4,592,332,134/x
  3. Step 3: Cross multiply
    3,074,988,196x = 4,592,332,134 × 4,592,332,134
  4. Step 4: Simplify right side
    3,074,988,196x = 21,089,514,428,968,992,768
  5. Step 5: Solve for x
    x = 21,089,514,428,968,992,768/3,074,988,196
  6. Step 6: Final answer
    x = 6,858,405,003.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.