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Finding the Third Proportional to 7,791,699,320 and 16,686,670,368

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Solution

The third proportional to 7,791,699,320 and 16,686,670,368 is: 35,736,102,810.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791,699,320 : 16,686,670,368 = 16,686,670,368 : x
  2. Step 2: Convert to fraction form
    7,791,699,320/16,686,670,368 = 16,686,670,368/x
  3. Step 3: Cross multiply
    7,791,699,320x = 16,686,670,368 × 16,686,670,368
  4. Step 4: Simplify right side
    7,791,699,320x = 278,444,967,970,289,254,400
  5. Step 5: Solve for x
    x = 278,444,967,970,289,254,400/7,791,699,320
  6. Step 6: Final answer
    x = 35,736,102,810.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.