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Finding the Third Proportional to 1,290,105,860 and 1,992,191,460

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Solution

The third proportional to 1,290,105,860 and 1,992,191,460 is: 3,076,357,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290,105,860 : 1,992,191,460 = 1,992,191,460 : x
  2. Step 2: Convert to fraction form
    1,290,105,860/1,992,191,460 = 1,992,191,460/x
  3. Step 3: Cross multiply
    1,290,105,860x = 1,992,191,460 × 1,992,191,460
  4. Step 4: Simplify right side
    1,290,105,860x = 3,968,826,813,296,931,840
  5. Step 5: Solve for x
    x = 3,968,826,813,296,931,840/1,290,105,860
  6. Step 6: Final answer
    x = 3,076,357,480.69

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