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Finding the Third Proportional to 7,084,257 and 15,153,342

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Solution

The third proportional to 7,084,257 and 15,153,342 is: 32,413,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084,257 : 15,153,342 = 15,153,342 : x
  2. Step 2: Convert to fraction form
    7,084,257/15,153,342 = 15,153,342/x
  3. Step 3: Cross multiply
    7,084,257x = 15,153,342 × 15,153,342
  4. Step 4: Simplify right side
    7,084,257x = 229,623,773,768,964
  5. Step 5: Solve for x
    x = 229,623,773,768,964/7,084,257
  6. Step 6: Final answer
    x = 32,413,247.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.