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Finding the Third Proportional to 3,290,738,480 and 7,118,217,598

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Solution

The third proportional to 3,290,738,480 and 7,118,217,598 is: 15,397,462,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290,738,480 : 7,118,217,598 = 7,118,217,598 : x
  2. Step 2: Convert to fraction form
    3,290,738,480/7,118,217,598 = 7,118,217,598/x
  3. Step 3: Cross multiply
    3,290,738,480x = 7,118,217,598 × 7,118,217,598
  4. Step 4: Simplify right side
    3,290,738,480x = 50,669,021,772,476,891,136
  5. Step 5: Solve for x
    x = 50,669,021,772,476,891,136/3,290,738,480
  6. Step 6: Final answer
    x = 15,397,462,326.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.