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Finding the Third Proportional to 3,061,012,271,484 and 6,576,288,617,688

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Solution

The third proportional to 3,061,012,271,484 and 6,576,288,617,688 is: 14,128,519,635,815.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061,012,271,484 : 6,576,288,617,688 = 6,576,288,617,688 : x
  2. Step 2: Convert to fraction form
    3,061,012,271,484/6,576,288,617,688 = 6,576,288,617,688/x
  3. Step 3: Cross multiply
    3,061,012,271,484x = 6,576,288,617,688 × 6,576,288,617,688
  4. Step 4: Simplify right side
    3,061,012,271,484x = 43,247,571,983,132,744,929,509,376
  5. Step 5: Solve for x
    x = 43,247,571,983,132,744,929,509,376/3,061,012,271,484
  6. Step 6: Final answer
    x = 14,128,519,635,815.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.