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Finding the Third Proportional to 6,146,490,861 and 13,225,210,560

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Solution

The third proportional to 6,146,490,861 and 13,225,210,560 is: 28,456,268,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146,490,861 : 13,225,210,560 = 13,225,210,560 : x
  2. Step 2: Convert to fraction form
    6,146,490,861/13,225,210,560 = 13,225,210,560/x
  3. Step 3: Cross multiply
    6,146,490,861x = 13,225,210,560 × 13,225,210,560
  4. Step 4: Simplify right side
    6,146,490,861x = 174,906,194,356,335,509,504
  5. Step 5: Solve for x
    x = 174,906,194,356,335,509,504/6,146,490,861
  6. Step 6: Final answer
    x = 28,456,268,513.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.