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Finding the Third Proportional to 429,242,055 and 929,793,394.50

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Solution

The third proportional to 429,242,055 and 929,793,394.50 is: 2,014,051,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,242,055 : 929,793,394.50 = 929,793,394.50 : x
  2. Step 2: Convert to fraction form
    429,242,055/929,793,394.50 = 929,793,394.50/x
  3. Step 3: Cross multiply
    429,242,055x = 929,793,394.50 × 929,793,394.50
  4. Step 4: Simplify right side
    429,242,055x = 864,515,756,455,832,576
  5. Step 5: Solve for x
    x = 864,515,756,455,832,576/429,242,055
  6. Step 6: Final answer
    x = 2,014,051,853.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.