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Finding the Third Proportional to 903,890,827,686 and 1,951,571,043,528

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Solution

The third proportional to 903,890,827,686 and 1,951,571,043,528 is: 4,213,594,630,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,890,827,686 : 1,951,571,043,528 = 1,951,571,043,528 : x
  2. Step 2: Convert to fraction form
    903,890,827,686/1,951,571,043,528 = 1,951,571,043,528/x
  3. Step 3: Cross multiply
    903,890,827,686x = 1,951,571,043,528 × 1,951,571,043,528
  4. Step 4: Simplify right side
    903,890,827,686x = 3,808,629,537,936,967,095,812,096
  5. Step 5: Solve for x
    x = 3,808,629,537,936,967,095,812,096/903,890,827,686
  6. Step 6: Final answer
    x = 4,213,594,630,324.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.