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Finding the Third Proportional to 44,193,216,780 and 94,690,032,408

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Solution

The third proportional to 44,193,216,780 and 94,690,032,408 is: 202,886,390,507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,193,216,780 : 94,690,032,408 = 94,690,032,408 : x
  2. Step 2: Convert to fraction form
    44,193,216,780/94,690,032,408 = 94,690,032,408/x
  3. Step 3: Cross multiply
    44,193,216,780x = 94,690,032,408 × 94,690,032,408
  4. Step 4: Simplify right side
    44,193,216,780x = 8,966,202,237,428,090,011,648
  5. Step 5: Solve for x
    x = 8,966,202,237,428,090,011,648/44,193,216,780
  6. Step 6: Final answer
    x = 202,886,390,507.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.