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Finding the Third Proportional to 9,354,767,376 and 12,708,843,288

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Solution

The third proportional to 9,354,767,376 and 12,708,843,288 is: 17,265,495,893.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354,767,376 : 12,708,843,288 = 12,708,843,288 : x
  2. Step 2: Convert to fraction form
    9,354,767,376/12,708,843,288 = 12,708,843,288/x
  3. Step 3: Cross multiply
    9,354,767,376x = 12,708,843,288 × 12,708,843,288
  4. Step 4: Simplify right side
    9,354,767,376x = 161,514,697,718,942,662,656
  5. Step 5: Solve for x
    x = 161,514,697,718,942,662,656/9,354,767,376
  6. Step 6: Final answer
    x = 17,265,495,893.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.