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Finding the Third Proportional to 344,599,119 and 737,636,994

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Solution

The third proportional to 344,599,119 and 737,636,994 is: 1,578,960,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,599,119 : 737,636,994 = 737,636,994 : x
  2. Step 2: Convert to fraction form
    344,599,119/737,636,994 = 737,636,994/x
  3. Step 3: Cross multiply
    344,599,119x = 737,636,994 × 737,636,994
  4. Step 4: Simplify right side
    344,599,119x = 544,108,334,917,356,032
  5. Step 5: Solve for x
    x = 544,108,334,917,356,032/344,599,119
  6. Step 6: Final answer
    x = 1,578,960,319.16

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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.