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Finding the Third Proportional to 10,633,526 and 23,325,730

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Solution

The third proportional to 10,633,526 and 23,325,730 is: 51,167,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633,526 : 23,325,730 = 23,325,730 : x
  2. Step 2: Convert to fraction form
    10,633,526/23,325,730 = 23,325,730/x
  3. Step 3: Cross multiply
    10,633,526x = 23,325,730 × 23,325,730
  4. Step 4: Simplify right side
    10,633,526x = 544,089,680,032,900
  5. Step 5: Solve for x
    x = 544,089,680,032,900/10,633,526
  6. Step 6: Final answer
    x = 51,167,381.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.