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Finding the Third Proportional to 49,762,686,908 and 109,668,594,522

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Solution

The third proportional to 49,762,686,908 and 109,668,594,522 is: 241,691,141,932.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762,686,908 : 109,668,594,522 = 109,668,594,522 : x
  2. Step 2: Convert to fraction form
    49,762,686,908/109,668,594,522 = 109,668,594,522/x
  3. Step 3: Cross multiply
    49,762,686,908x = 109,668,594,522 × 109,668,594,522
  4. Step 4: Simplify right side
    49,762,686,908x = 12,027,200,624,430,847,885,312
  5. Step 5: Solve for x
    x = 12,027,200,624,430,847,885,312/49,762,686,908
  6. Step 6: Final answer
    x = 241,691,141,932.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.