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Finding the Third Proportional to 359,747,451,521 and 799,929,298,664

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Solution

The third proportional to 359,747,451,521 and 799,929,298,664 is: 1,778,711,371,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,747,451,521 : 799,929,298,664 = 799,929,298,664 : x
  2. Step 2: Convert to fraction form
    359,747,451,521/799,929,298,664 = 799,929,298,664/x
  3. Step 3: Cross multiply
    359,747,451,521x = 799,929,298,664 × 799,929,298,664
  4. Step 4: Simplify right side
    359,747,451,521x = 639,886,882,861,078,911,385,600
  5. Step 5: Solve for x
    x = 639,886,882,861,078,911,385,600/359,747,451,521
  6. Step 6: Final answer
    x = 1,778,711,371,423.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.