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Finding the Third Proportional to 1,029,113,971,707 and 1,556,906,773,324

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Solution

The third proportional to 1,029,113,971,707 and 1,556,906,773,324 is: 2,355,384,114,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,113,971,707 : 1,556,906,773,324 = 1,556,906,773,324 : x
  2. Step 2: Convert to fraction form
    1,029,113,971,707/1,556,906,773,324 = 1,556,906,773,324/x
  3. Step 3: Cross multiply
    1,029,113,971,707x = 1,556,906,773,324 × 1,556,906,773,324
  4. Step 4: Simplify right side
    1,029,113,971,707x = 2,423,958,700,822,149,294,194,688
  5. Step 5: Solve for x
    x = 2,423,958,700,822,149,294,194,688/1,029,113,971,707
  6. Step 6: Final answer
    x = 2,355,384,114,357.62

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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.