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Finding the Third Proportional to 1,029,113,971,711 and 1,556,906,773,330

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Solution

The third proportional to 1,029,113,971,711 and 1,556,906,773,330 is: 2,355,384,114,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,113,971,711 : 1,556,906,773,330 = 1,556,906,773,330 : x
  2. Step 2: Convert to fraction form
    1,029,113,971,711/1,556,906,773,330 = 1,556,906,773,330/x
  3. Step 3: Cross multiply
    1,029,113,971,711x = 1,556,906,773,330 × 1,556,906,773,330
  4. Step 4: Simplify right side
    1,029,113,971,711x = 2,423,958,700,840,831,865,061,376
  5. Step 5: Solve for x
    x = 2,423,958,700,840,831,865,061,376/1,029,113,971,711
  6. Step 6: Final answer
    x = 2,355,384,114,366.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.