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Finding the Third Proportional to 1,785,013,364 and 3,856,847,404

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Solution

The third proportional to 1,785,013,364 and 3,856,847,404 is: 8,333,423,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785,013,364 : 3,856,847,404 = 3,856,847,404 : x
  2. Step 2: Convert to fraction form
    1,785,013,364/3,856,847,404 = 3,856,847,404/x
  3. Step 3: Cross multiply
    1,785,013,364x = 3,856,847,404 × 3,856,847,404
  4. Step 4: Simplify right side
    1,785,013,364x = 14,875,271,897,741,539,328
  5. Step 5: Solve for x
    x = 14,875,271,897,741,539,328/1,785,013,364
  6. Step 6: Final answer
    x = 8,333,423,266.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.