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Finding the Third Proportional to 432,844,514 and 908,204,307.50

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Solution

The third proportional to 432,844,514 and 908,204,307.50 is: 1,905,615,151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,844,514 : 908,204,307.50 = 908,204,307.50 : x
  2. Step 2: Convert to fraction form
    432,844,514/908,204,307.50 = 908,204,307.50/x
  3. Step 3: Cross multiply
    432,844,514x = 908,204,307.50 × 908,204,307.50
  4. Step 4: Simplify right side
    432,844,514x = 824,835,064,161,554,560
  5. Step 5: Solve for x
    x = 824,835,064,161,554,560/432,844,514
  6. Step 6: Final answer
    x = 1,905,615,151.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.