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Finding the Third Proportional to 1,755,046,056,544 and 3,559,440,011,676

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Solution

The third proportional to 1,755,046,056,544 and 3,559,440,011,676 is: 7,218,963,371,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755,046,056,544 : 3,559,440,011,676 = 3,559,440,011,676 : x
  2. Step 2: Convert to fraction form
    1,755,046,056,544/3,559,440,011,676 = 3,559,440,011,676/x
  3. Step 3: Cross multiply
    1,755,046,056,544x = 3,559,440,011,676 × 3,559,440,011,676
  4. Step 4: Simplify right side
    1,755,046,056,544x = 12,669,613,196,720,043,506,794,496
  5. Step 5: Solve for x
    x = 12,669,613,196,720,043,506,794,496/1,755,046,056,544
  6. Step 6: Final answer
    x = 7,218,963,371,063.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.