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Finding the Third Proportional to 288,776,982 and 630,471,696

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Solution

The third proportional to 288,776,982 and 630,471,696 is: 1,376,475,911.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,776,982 : 630,471,696 = 630,471,696 : x
  2. Step 2: Convert to fraction form
    288,776,982/630,471,696 = 630,471,696/x
  3. Step 3: Cross multiply
    288,776,982x = 630,471,696 × 630,471,696
  4. Step 4: Simplify right side
    288,776,982x = 397,494,559,457,116,416
  5. Step 5: Solve for x
    x = 397,494,559,457,116,416/288,776,982
  6. Step 6: Final answer
    x = 1,376,475,911.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.