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Finding the Third Proportional to 25,748,010 and 36,085,770

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Solution

The third proportional to 25,748,010 and 36,085,770 is: 50,574,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,748,010 : 36,085,770 = 36,085,770 : x
  2. Step 2: Convert to fraction form
    25,748,010/36,085,770 = 36,085,770/x
  3. Step 3: Cross multiply
    25,748,010x = 36,085,770 × 36,085,770
  4. Step 4: Simplify right side
    25,748,010x = 1,302,182,796,492,900
  5. Step 5: Solve for x
    x = 1,302,182,796,492,900/25,748,010
  6. Step 6: Final answer
    x = 50,574,114.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.