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Finding the Third Proportional to 411,560,896,305 and 891,510,477,078

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Solution

The third proportional to 411,560,896,305 and 891,510,477,078 is: 1,931,162,406,038.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,560,896,305 : 891,510,477,078 = 891,510,477,078 : x
  2. Step 2: Convert to fraction form
    411,560,896,305/891,510,477,078 = 891,510,477,078/x
  3. Step 3: Cross multiply
    411,560,896,305x = 891,510,477,078 × 891,510,477,078
  4. Step 4: Simplify right side
    411,560,896,305x = 794,790,930,739,843,215,392,768
  5. Step 5: Solve for x
    x = 794,790,930,739,843,215,392,768/411,560,896,305
  6. Step 6: Final answer
    x = 1,931,162,406,038.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.