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Finding the Third Proportional to 943,591,886 and 1,407,205,107

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Solution

The third proportional to 943,591,886 and 1,407,205,107 is: 2,098,604,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,591,886 : 1,407,205,107 = 1,407,205,107 : x
  2. Step 2: Convert to fraction form
    943,591,886/1,407,205,107 = 1,407,205,107/x
  3. Step 3: Cross multiply
    943,591,886x = 1,407,205,107 × 1,407,205,107
  4. Step 4: Simplify right side
    943,591,886x = 1,980,226,213,166,881,536
  5. Step 5: Solve for x
    x = 1,980,226,213,166,881,536/943,591,886
  6. Step 6: Final answer
    x = 2,098,604,537.14

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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.