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Finding the Third Proportional to 31,925,027,748 and 44,900,415,575

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Solution

The third proportional to 31,925,027,748 and 44,900,415,575 is: 63,149,430,431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,925,027,748 : 44,900,415,575 = 44,900,415,575 : x
  2. Step 2: Convert to fraction form
    31,925,027,748/44,900,415,575 = 44,900,415,575/x
  3. Step 3: Cross multiply
    31,925,027,748x = 44,900,415,575 × 44,900,415,575
  4. Step 4: Simplify right side
    31,925,027,748x = 2,016,047,318,807,702,667,264
  5. Step 5: Solve for x
    x = 2,016,047,318,807,702,667,264/31,925,027,748
  6. Step 6: Final answer
    x = 63,149,430,431.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.