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Finding the Third Proportional to 9,991,423,287,880 and 13,480,776,006,576

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Solution

The third proportional to 9,991,423,287,880 and 13,480,776,006,576 is: 18,188,732,125,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991,423,287,880 : 13,480,776,006,576 = 13,480,776,006,576 : x
  2. Step 2: Convert to fraction form
    9,991,423,287,880/13,480,776,006,576 = 13,480,776,006,576/x
  3. Step 3: Cross multiply
    9,991,423,287,880x = 13,480,776,006,576 × 13,480,776,006,576
  4. Step 4: Simplify right side
    9,991,423,287,880x = 181,731,321,739,475,160,464,883,712
  5. Step 5: Solve for x
    x = 181,731,321,739,475,160,464,883,712/9,991,423,287,880
  6. Step 6: Final answer
    x = 18,188,732,125,874.66

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.