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Finding the Third Proportional to 67,442,107,196,102 and 90,995,238,048,477

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Solution

The third proportional to 67,442,107,196,102 and 90,995,238,048,477 is: 122,773,941,855,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,442,107,196,102 : 90,995,238,048,477 = 90,995,238,048,477 : x
  2. Step 2: Convert to fraction form
    67,442,107,196,102/90,995,238,048,477 = 90,995,238,048,477/x
  3. Step 3: Cross multiply
    67,442,107,196,102x = 90,995,238,048,477 × 90,995,238,048,477
  4. Step 4: Simplify right side
    67,442,107,196,102x = 8,280,133,347,498,996,722,594,480,128
  5. Step 5: Solve for x
    x = 8,280,133,347,498,996,722,594,480,128/67,442,107,196,102
  6. Step 6: Final answer
    x = 122,773,941,855,386.89

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.