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Finding the Third Proportional to 2,407,479,896 and 3,390,262,206

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Solution

The third proportional to 2,407,479,896 and 3,390,262,206 is: 4,774,236,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407,479,896 : 3,390,262,206 = 3,390,262,206 : x
  2. Step 2: Convert to fraction form
    2,407,479,896/3,390,262,206 = 3,390,262,206/x
  3. Step 3: Cross multiply
    2,407,479,896x = 3,390,262,206 × 3,390,262,206
  4. Step 4: Simplify right side
    2,407,479,896x = 11,493,877,825,431,986,176
  5. Step 5: Solve for x
    x = 11,493,877,825,431,986,176/2,407,479,896
  6. Step 6: Final answer
    x = 4,774,236,264.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.