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Finding the Third Proportional to 1,842,311,310 and 2,830,310,433

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Solution

The third proportional to 1,842,311,310 and 2,830,310,433 is: 4,348,156,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842,311,310 : 2,830,310,433 = 2,830,310,433 : x
  2. Step 2: Convert to fraction form
    1,842,311,310/2,830,310,433 = 2,830,310,433/x
  3. Step 3: Cross multiply
    1,842,311,310x = 2,830,310,433 × 2,830,310,433
  4. Step 4: Simplify right side
    1,842,311,310x = 8,010,657,147,148,647,424
  5. Step 5: Solve for x
    x = 8,010,657,147,148,647,424/1,842,311,310
  6. Step 6: Final answer
    x = 4,348,156,092.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.