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Finding the Third Proportional to 9,902,076,448 and 14,980,677,360

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Solution

The third proportional to 9,902,076,448 and 14,980,677,360 is: 22,664,003,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902,076,448 : 14,980,677,360 = 14,980,677,360 : x
  2. Step 2: Convert to fraction form
    9,902,076,448/14,980,677,360 = 14,980,677,360/x
  3. Step 3: Cross multiply
    9,902,076,448x = 14,980,677,360 × 14,980,677,360
  4. Step 4: Simplify right side
    9,902,076,448x = 224,420,694,164,416,561,152
  5. Step 5: Solve for x
    x = 224,420,694,164,416,561,152/9,902,076,448
  6. Step 6: Final answer
    x = 22,664,003,387.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.