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Finding the Third Proportional to 1,029,113,971,709 and 1,556,906,773,327

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Solution

The third proportional to 1,029,113,971,709 and 1,556,906,773,327 is: 2,355,384,114,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,113,971,709 : 1,556,906,773,327 = 1,556,906,773,327 : x
  2. Step 2: Convert to fraction form
    1,029,113,971,709/1,556,906,773,327 = 1,556,906,773,327/x
  3. Step 3: Cross multiply
    1,029,113,971,709x = 1,556,906,773,327 × 1,556,906,773,327
  4. Step 4: Simplify right side
    1,029,113,971,709x = 2,423,958,700,831,490,311,192,576
  5. Step 5: Solve for x
    x = 2,423,958,700,831,490,311,192,576/1,029,113,971,709
  6. Step 6: Final answer
    x = 2,355,384,114,362.12

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Why These Related Problems?

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