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Finding the Third Proportional to 353,673,216 and 761,094,144

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Solution

The third proportional to 353,673,216 and 761,094,144 is: 1,637,851,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,673,216 : 761,094,144 = 761,094,144 : x
  2. Step 2: Convert to fraction form
    353,673,216/761,094,144 = 761,094,144/x
  3. Step 3: Cross multiply
    353,673,216x = 761,094,144 × 761,094,144
  4. Step 4: Simplify right side
    353,673,216x = 579,264,296,031,092,736
  5. Step 5: Solve for x
    x = 579,264,296,031,092,736/353,673,216
  6. Step 6: Final answer
    x = 1,637,851,750.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.