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Finding the Third Proportional to 6,194,088,225 and 9,468,878,553

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Solution

The third proportional to 6,194,088,225 and 9,468,878,553 is: 14,475,037,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194,088,225 : 9,468,878,553 = 9,468,878,553 : x
  2. Step 2: Convert to fraction form
    6,194,088,225/9,468,878,553 = 9,468,878,553/x
  3. Step 3: Cross multiply
    6,194,088,225x = 9,468,878,553 × 9,468,878,553
  4. Step 4: Simplify right side
    6,194,088,225x = 89,659,661,051,463,368,704
  5. Step 5: Solve for x
    x = 89,659,661,051,463,368,704/6,194,088,225
  6. Step 6: Final answer
    x = 14,475,037,777.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.