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Finding the Third Proportional to 246,655,357,448 and 392,477,162,232

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Solution

The third proportional to 246,655,357,448 and 392,477,162,232 is: 624,508,319,897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,655,357,448 : 392,477,162,232 = 392,477,162,232 : x
  2. Step 2: Convert to fraction form
    246,655,357,448/392,477,162,232 = 392,477,162,232/x
  3. Step 3: Cross multiply
    246,655,357,448x = 392,477,162,232 × 392,477,162,232
  4. Step 4: Simplify right side
    246,655,357,448x = 154,038,322,873,683,643,727,872
  5. Step 5: Solve for x
    x = 154,038,322,873,683,643,727,872/246,655,357,448
  6. Step 6: Final answer
    x = 624,508,319,897.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.