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Finding the Third Proportional to 411,560,896,307 and 891,510,477,082

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Solution

The third proportional to 411,560,896,307 and 891,510,477,082 is: 1,931,162,406,046.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,560,896,307 : 891,510,477,082 = 891,510,477,082 : x
  2. Step 2: Convert to fraction form
    411,560,896,307/891,510,477,082 = 891,510,477,082/x
  3. Step 3: Cross multiply
    411,560,896,307x = 891,510,477,082 × 891,510,477,082
  4. Step 4: Simplify right side
    411,560,896,307x = 794,790,930,746,975,277,023,232
  5. Step 5: Solve for x
    x = 794,790,930,746,975,277,023,232/411,560,896,307
  6. Step 6: Final answer
    x = 1,931,162,406,046.73

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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.