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Finding the Third Proportional to 13,711,350,984 and 19,308,603,576

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Solution

The third proportional to 13,711,350,984 and 19,308,603,576 is: 27,190,768,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711,350,984 : 19,308,603,576 = 19,308,603,576 : x
  2. Step 2: Convert to fraction form
    13,711,350,984/19,308,603,576 = 19,308,603,576/x
  3. Step 3: Cross multiply
    13,711,350,984x = 19,308,603,576 × 19,308,603,576
  4. Step 4: Simplify right side
    13,711,350,984x = 372,822,172,055,119,986,688
  5. Step 5: Solve for x
    x = 372,822,172,055,119,986,688/13,711,350,984
  6. Step 6: Final answer
    x = 27,190,768,618.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.