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Finding the Third Proportional to 25,680,769 and 56,898,657

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Solution

The third proportional to 25,680,769 and 56,898,657 is: 126,065,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,680,769 : 56,898,657 = 56,898,657 : x
  2. Step 2: Convert to fraction form
    25,680,769/56,898,657 = 56,898,657/x
  3. Step 3: Cross multiply
    25,680,769x = 56,898,657 × 56,898,657
  4. Step 4: Simplify right side
    25,680,769x = 3,237,457,168,403,649
  5. Step 5: Solve for x
    x = 3,237,457,168,403,649/25,680,769
  6. Step 6: Final answer
    x = 126,065,429.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.