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Finding the Third Proportional to 2,123,725,770 and 2,952,870,928

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Solution

The third proportional to 2,123,725,770 and 2,952,870,928 is: 4,105,730,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123,725,770 : 2,952,870,928 = 2,952,870,928 : x
  2. Step 2: Convert to fraction form
    2,123,725,770/2,952,870,928 = 2,952,870,928/x
  3. Step 3: Cross multiply
    2,123,725,770x = 2,952,870,928 × 2,952,870,928
  4. Step 4: Simplify right side
    2,123,725,770x = 8,719,446,717,427,580,928
  5. Step 5: Solve for x
    x = 8,719,446,717,427,580,928/2,123,725,770
  6. Step 6: Final answer
    x = 4,105,730,994.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.