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Finding the Third Proportional to 5,849,032 and 13,539,504

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Solution

The third proportional to 5,849,032 and 13,539,504 is: 31,341,625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849,032 : 13,539,504 = 13,539,504 : x
  2. Step 2: Convert to fraction form
    5,849,032/13,539,504 = 13,539,504/x
  3. Step 3: Cross multiply
    5,849,032x = 13,539,504 × 13,539,504
  4. Step 4: Simplify right side
    5,849,032x = 183,318,168,566,016
  5. Step 5: Solve for x
    x = 183,318,168,566,016/5,849,032
  6. Step 6: Final answer
    x = 31,341,625.17

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.