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Finding the Third Proportional to 429,950,080 and 877,946,510

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Solution

The third proportional to 429,950,080 and 877,946,510 is: 1,792,743,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,950,080 : 877,946,510 = 877,946,510 : x
  2. Step 2: Convert to fraction form
    429,950,080/877,946,510 = 877,946,510/x
  3. Step 3: Cross multiply
    429,950,080x = 877,946,510 × 877,946,510
  4. Step 4: Simplify right side
    429,950,080x = 770,790,074,421,180,160
  5. Step 5: Solve for x
    x = 770,790,074,421,180,160/429,950,080
  6. Step 6: Final answer
    x = 1,792,743,181.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.