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Finding the Third Proportional to 429,242,017.50 and 929,793,318.75

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Solution

The third proportional to 429,242,017.50 and 929,793,318.75 is: 2,014,051,701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,242,017.50 : 929,793,318.75 = 929,793,318.75 : x
  2. Step 2: Convert to fraction form
    429,242,017.50/929,793,318.75 = 929,793,318.75/x
  3. Step 3: Cross multiply
    429,242,017.50x = 929,793,318.75 × 929,793,318.75
  4. Step 4: Simplify right side
    429,242,017.50x = 864,515,615,592,139,136
  5. Step 5: Solve for x
    x = 864,515,615,592,139,136/429,242,017.50
  6. Step 6: Final answer
    x = 2,014,051,701.25

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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.