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Finding the Third Proportional to 359,717,315.98 and 782,776,393.80

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Solution

The third proportional to 359,717,315.98 and 782,776,393.80 is: 1,703,390,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,717,315.98 : 782,776,393.80 = 782,776,393.80 : x
  2. Step 2: Convert to fraction form
    359,717,315.98/782,776,393.80 = 782,776,393.80/x
  3. Step 3: Cross multiply
    359,717,315.98x = 782,776,393.80 × 782,776,393.80
  4. Step 4: Simplify right side
    359,717,315.98x = 612,738,882,697,812,480
  5. Step 5: Solve for x
    x = 612,738,882,697,812,480/359,717,315.98
  6. Step 6: Final answer
    x = 1,703,390,010.67

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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.