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Finding the Third Proportional to 3,554,017,096,511.20 and 7,642,901,544,894.40

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Solution

The third proportional to 3,554,017,096,511.20 and 7,642,901,544,894.40 is: 16,436,033,490,748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554,017,096,511.20 : 7,642,901,544,894.40 = 7,642,901,544,894.40 : x
  2. Step 2: Convert to fraction form
    3,554,017,096,511.20/7,642,901,544,894.40 = 7,642,901,544,894.40/x
  3. Step 3: Cross multiply
    3,554,017,096,511.20x = 7,642,901,544,894.40 × 7,642,901,544,894.40
  4. Step 4: Simplify right side
    3,554,017,096,511.20x = 58,413,944,024,949,216,402,997,248
  5. Step 5: Solve for x
    x = 58,413,944,024,949,216,402,997,248/3,554,017,096,511.20
  6. Step 6: Final answer
    x = 16,436,033,490,748.04

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