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Finding the Third Proportional to 1,407,795,421 and 1,917,177,070

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Solution

The third proportional to 1,407,795,421 and 1,917,177,070 is: 2,610,867,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,795,421 : 1,917,177,070 = 1,917,177,070 : x
  2. Step 2: Convert to fraction form
    1,407,795,421/1,917,177,070 = 1,917,177,070/x
  3. Step 3: Cross multiply
    1,407,795,421x = 1,917,177,070 × 1,917,177,070
  4. Step 4: Simplify right side
    1,407,795,421x = 3,675,567,917,733,785,088
  5. Step 5: Solve for x
    x = 3,675,567,917,733,785,088/1,407,795,421
  6. Step 6: Final answer
    x = 2,610,867,930.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.