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Finding the Third Proportional to 344,795,274 and 766,118,043

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Solution

The third proportional to 344,795,274 and 766,118,043 is: 1,702,276,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,795,274 : 766,118,043 = 766,118,043 : x
  2. Step 2: Convert to fraction form
    344,795,274/766,118,043 = 766,118,043/x
  3. Step 3: Cross multiply
    344,795,274x = 766,118,043 × 766,118,043
  4. Step 4: Simplify right side
    344,795,274x = 586,936,855,810,149,888
  5. Step 5: Solve for x
    x = 586,936,855,810,149,888/344,795,274
  6. Step 6: Final answer
    x = 1,702,276,394.34

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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.