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Finding the Third Proportional to 903,890,827,688 and 1,951,571,043,532

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Solution

The third proportional to 903,890,827,688 and 1,951,571,043,532 is: 4,213,594,630,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,890,827,688 : 1,951,571,043,532 = 1,951,571,043,532 : x
  2. Step 2: Convert to fraction form
    903,890,827,688/1,951,571,043,532 = 1,951,571,043,532/x
  3. Step 3: Cross multiply
    903,890,827,688x = 1,951,571,043,532 × 1,951,571,043,532
  4. Step 4: Simplify right side
    903,890,827,688x = 3,808,629,537,952,579,301,933,056
  5. Step 5: Solve for x
    x = 3,808,629,537,952,579,301,933,056/903,890,827,688
  6. Step 6: Final answer
    x = 4,213,594,630,332.08

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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.