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Finding the Third Proportional to 7,635,957 and 10,681,176

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Solution

The third proportional to 7,635,957 and 10,681,176 is: 14,940,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635,957 : 10,681,176 = 10,681,176 : x
  2. Step 2: Convert to fraction form
    7,635,957/10,681,176 = 10,681,176/x
  3. Step 3: Cross multiply
    7,635,957x = 10,681,176 × 10,681,176
  4. Step 4: Simplify right side
    7,635,957x = 114,087,520,742,976
  5. Step 5: Solve for x
    x = 114,087,520,742,976/7,635,957
  6. Step 6: Final answer
    x = 14,940,828.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.