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Finding the Third Proportional to 243,210,194,078 and 523,022,686,054

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Solution

The third proportional to 243,210,194,078 and 523,022,686,054 is: 1,124,758,487,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,210,194,078 : 523,022,686,054 = 523,022,686,054 : x
  2. Step 2: Convert to fraction form
    243,210,194,078/523,022,686,054 = 523,022,686,054/x
  3. Step 3: Cross multiply
    243,210,194,078x = 523,022,686,054 × 523,022,686,054
  4. Step 4: Simplify right side
    243,210,194,078x = 273,552,730,127,141,059,952,640
  5. Step 5: Solve for x
    x = 273,552,730,127,141,059,952,640/243,210,194,078
  6. Step 6: Final answer
    x = 1,124,758,487,875.76

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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.