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Finding the Third Proportional to 345,574,200.42 and 761,587,428.23

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Solution

The third proportional to 345,574,200.42 and 761,587,428.23 is: 1,678,410,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,574,200.42 : 761,587,428.23 = 761,587,428.23 : x
  2. Step 2: Convert to fraction form
    345,574,200.42/761,587,428.23 = 761,587,428.23/x
  3. Step 3: Cross multiply
    345,574,200.42x = 761,587,428.23 × 761,587,428.23
  4. Step 4: Simplify right side
    345,574,200.42x = 580,015,410,844,656,896
  5. Step 5: Solve for x
    x = 580,015,410,844,656,896/345,574,200.42
  6. Step 6: Final answer
    x = 1,678,410,628.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.