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Finding the Third Proportional to 7,791,699,316 and 16,686,670,360

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Solution

The third proportional to 7,791,699,316 and 16,686,670,360 is: 35,736,102,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791,699,316 : 16,686,670,360 = 16,686,670,360 : x
  2. Step 2: Convert to fraction form
    7,791,699,316/16,686,670,360 = 16,686,670,360/x
  3. Step 3: Cross multiply
    7,791,699,316x = 16,686,670,360 × 16,686,670,360
  4. Step 4: Simplify right side
    7,791,699,316x = 278,444,967,703,302,537,216
  5. Step 5: Solve for x
    x = 278,444,967,703,302,537,216/7,791,699,316
  6. Step 6: Final answer
    x = 35,736,102,794.87

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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.