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Finding the Third Proportional to 10,032,192 and 15,283,008

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Solution

The third proportional to 10,032,192 and 15,283,008 is: 23,282,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032,192 : 15,283,008 = 15,283,008 : x
  2. Step 2: Convert to fraction form
    10,032,192/15,283,008 = 15,283,008/x
  3. Step 3: Cross multiply
    10,032,192x = 15,283,008 × 15,283,008
  4. Step 4: Simplify right side
    10,032,192x = 233,570,333,528,064
  5. Step 5: Solve for x
    x = 233,570,333,528,064/10,032,192
  6. Step 6: Final answer
    x = 23,282,083.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.