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Finding the Third Proportional to 127,497,835,584 and 190,544,043,984

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Solution

The third proportional to 127,497,835,584 and 190,544,043,984 is: 284,765,874,898.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,497,835,584 : 190,544,043,984 = 190,544,043,984 : x
  2. Step 2: Convert to fraction form
    127,497,835,584/190,544,043,984 = 190,544,043,984/x
  3. Step 3: Cross multiply
    127,497,835,584x = 190,544,043,984 × 190,544,043,984
  4. Step 4: Simplify right side
    127,497,835,584x = 36,307,032,697,776,526,852,096
  5. Step 5: Solve for x
    x = 36,307,032,697,776,526,852,096/127,497,835,584
  6. Step 6: Final answer
    x = 284,765,874,898.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.