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Finding the Third Proportional to 303,654,891,456 and 632,443,119,528

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Solution

The third proportional to 303,654,891,456 and 632,443,119,528 is: 1,317,233,183,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,654,891,456 : 632,443,119,528 = 632,443,119,528 : x
  2. Step 2: Convert to fraction form
    303,654,891,456/632,443,119,528 = 632,443,119,528/x
  3. Step 3: Cross multiply
    303,654,891,456x = 632,443,119,528 × 632,443,119,528
  4. Step 4: Simplify right side
    303,654,891,456x = 399,984,299,438,308,063,182,848
  5. Step 5: Solve for x
    x = 399,984,299,438,308,063,182,848/303,654,891,456
  6. Step 6: Final answer
    x = 1,317,233,183,764.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.