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Finding the Third Proportional to 344,795,994 and 766,119,436

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Solution

The third proportional to 344,795,994 and 766,119,436 is: 1,702,279,030.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,795,994 : 766,119,436 = 766,119,436 : x
  2. Step 2: Convert to fraction form
    344,795,994/766,119,436 = 766,119,436/x
  3. Step 3: Cross multiply
    344,795,994x = 766,119,436 × 766,119,436
  4. Step 4: Simplify right side
    344,795,994x = 586,938,990,216,958,080
  5. Step 5: Solve for x
    x = 586,938,990,216,958,080/344,795,994
  6. Step 6: Final answer
    x = 1,702,279,030.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.