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Finding the Third Proportional to 282,630,954 and 426,633,465

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Solution

The third proportional to 282,630,954 and 426,633,465 is: 644,006,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,630,954 : 426,633,465 = 426,633,465 : x
  2. Step 2: Convert to fraction form
    282,630,954/426,633,465 = 426,633,465/x
  3. Step 3: Cross multiply
    282,630,954x = 426,633,465 × 426,633,465
  4. Step 4: Simplify right side
    282,630,954x = 182,016,113,457,906,240
  5. Step 5: Solve for x
    x = 182,016,113,457,906,240/282,630,954
  6. Step 6: Final answer
    x = 644,006,294.72

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Why These Related Problems?

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