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Finding the Third Proportional to 496,630,592 and 1,053,774,012

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Solution

The third proportional to 496,630,592 and 1,053,774,012 is: 2,235,946,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,630,592 : 1,053,774,012 = 1,053,774,012 : x
  2. Step 2: Convert to fraction form
    496,630,592/1,053,774,012 = 1,053,774,012/x
  3. Step 3: Cross multiply
    496,630,592x = 1,053,774,012 × 1,053,774,012
  4. Step 4: Simplify right side
    496,630,592x = 1,110,439,668,366,576,128
  5. Step 5: Solve for x
    x = 1,110,439,668,366,576,128/496,630,592
  6. Step 6: Final answer
    x = 2,235,946,971.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.