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Finding the Third Proportional to 298,411,842 and 642,173,330

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Solution

The third proportional to 298,411,842 and 642,173,330 is: 1,381,937,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,411,842 : 642,173,330 = 642,173,330 : x
  2. Step 2: Convert to fraction form
    298,411,842/642,173,330 = 642,173,330/x
  3. Step 3: Cross multiply
    298,411,842x = 642,173,330 × 642,173,330
  4. Step 4: Simplify right side
    298,411,842x = 412,386,585,763,288,896
  5. Step 5: Solve for x
    x = 412,386,585,763,288,896/298,411,842
  6. Step 6: Final answer
    x = 1,381,937,737.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.