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Finding the Third Proportional to 1,295,806,348 and 2,086,675,168

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Solution

The third proportional to 1,295,806,348 and 2,086,675,168 is: 3,360,234,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,806,348 : 2,086,675,168 = 2,086,675,168 : x
  2. Step 2: Convert to fraction form
    1,295,806,348/2,086,675,168 = 2,086,675,168/x
  3. Step 3: Cross multiply
    1,295,806,348x = 2,086,675,168 × 2,086,675,168
  4. Step 4: Simplify right side
    1,295,806,348x = 4,354,213,256,747,828,224
  5. Step 5: Solve for x
    x = 4,354,213,256,747,828,224/1,295,806,348
  6. Step 6: Final answer
    x = 3,360,234,546.98

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.