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Finding the Third Proportional to 34,300,182,084 and 74,298,671,436

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Solution

The third proportional to 34,300,182,084 and 74,298,671,436 is: 160,940,620,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,300,182,084 : 74,298,671,436 = 74,298,671,436 : x
  2. Step 2: Convert to fraction form
    34,300,182,084/74,298,671,436 = 74,298,671,436/x
  3. Step 3: Cross multiply
    34,300,182,084x = 74,298,671,436 × 74,298,671,436
  4. Step 4: Simplify right side
    34,300,182,084x = 5,520,292,577,154,682,585,088
  5. Step 5: Solve for x
    x = 5,520,292,577,154,682,585,088/34,300,182,084
  6. Step 6: Final answer
    x = 160,940,620,187.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.