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Finding the Third Proportional to 36,653,537 and 53,782,095

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Solution

The third proportional to 36,653,537 and 53,782,095 is: 78,914,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,653,537 : 53,782,095 = 53,782,095 : x
  2. Step 2: Convert to fraction form
    36,653,537/53,782,095 = 53,782,095/x
  3. Step 3: Cross multiply
    36,653,537x = 53,782,095 × 53,782,095
  4. Step 4: Simplify right side
    36,653,537x = 2,892,513,742,589,025
  5. Step 5: Solve for x
    x = 2,892,513,742,589,025/36,653,537
  6. Step 6: Final answer
    x = 78,914,996.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.