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Finding the Third Proportional to 6,194,088,347 and 9,468,878,840

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Solution

The third proportional to 6,194,088,347 and 9,468,878,840 is: 14,475,038,369.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194,088,347 : 9,468,878,840 = 9,468,878,840 : x
  2. Step 2: Convert to fraction form
    6,194,088,347/9,468,878,840 = 9,468,878,840/x
  3. Step 3: Cross multiply
    6,194,088,347x = 9,468,878,840 × 9,468,878,840
  4. Step 4: Simplify right side
    6,194,088,347x = 89,659,666,486,599,745,536
  5. Step 5: Solve for x
    x = 89,659,666,486,599,745,536/6,194,088,347
  6. Step 6: Final answer
    x = 14,475,038,369.45

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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.