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Finding the Third Proportional to 423,419,008.50 and 881,634,422.25

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Solution

The third proportional to 423,419,008.50 and 881,634,422.25 is: 1,835,721,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,419,008.50 : 881,634,422.25 = 881,634,422.25 : x
  2. Step 2: Convert to fraction form
    423,419,008.50/881,634,422.25 = 881,634,422.25/x
  3. Step 3: Cross multiply
    423,419,008.50x = 881,634,422.25 × 881,634,422.25
  4. Step 4: Simplify right side
    423,419,008.50x = 777,279,254,496,091,264
  5. Step 5: Solve for x
    x = 777,279,254,496,091,264/423,419,008.50
  6. Step 6: Final answer
    x = 1,835,721,209.71

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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.