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Finding the Third Proportional to 1,011,337,032,692 and 1,461,207,364,974

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Solution

The third proportional to 1,011,337,032,692 and 1,461,207,364,974 is: 2,111,192,307,247.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,337,032,692 : 1,461,207,364,974 = 1,461,207,364,974 : x
  2. Step 2: Convert to fraction form
    1,011,337,032,692/1,461,207,364,974 = 1,461,207,364,974/x
  3. Step 3: Cross multiply
    1,011,337,032,692x = 1,461,207,364,974 × 1,461,207,364,974
  4. Step 4: Simplify right side
    1,011,337,032,692x = 2,135,126,963,454,260,398,784,512
  5. Step 5: Solve for x
    x = 2,135,126,963,454,260,398,784,512/1,011,337,032,692
  6. Step 6: Final answer
    x = 2,111,192,307,247.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.