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Finding the Third Proportional to 1,452,561,199 and 3,107,069,977

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Solution

The third proportional to 1,452,561,199 and 3,107,069,977 is: 6,646,111,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452,561,199 : 3,107,069,977 = 3,107,069,977 : x
  2. Step 2: Convert to fraction form
    1,452,561,199/3,107,069,977 = 3,107,069,977/x
  3. Step 3: Cross multiply
    1,452,561,199x = 3,107,069,977 × 3,107,069,977
  4. Step 4: Simplify right side
    1,452,561,199x = 9,653,883,841,974,779,904
  5. Step 5: Solve for x
    x = 9,653,883,841,974,779,904/1,452,561,199
  6. Step 6: Final answer
    x = 6,646,111,605.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.