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Finding the Third Proportional to 282,630,959 and 426,633,473

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Solution

The third proportional to 282,630,959 and 426,633,473 is: 644,006,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,630,959 : 426,633,473 = 426,633,473 : x
  2. Step 2: Convert to fraction form
    282,630,959/426,633,473 = 426,633,473/x
  3. Step 3: Cross multiply
    282,630,959x = 426,633,473 × 426,633,473
  4. Step 4: Simplify right side
    282,630,959x = 182,016,120,284,041,728
  5. Step 5: Solve for x
    x = 182,016,120,284,041,728/282,630,959
  6. Step 6: Final answer
    x = 644,006,307.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.