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Finding the Third Proportional to 877,523,013,727 and 1,779,719,977,426

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Solution

The third proportional to 877,523,013,727 and 1,779,719,977,426 is: 3,609,481,630,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,523,013,727 : 1,779,719,977,426 = 1,779,719,977,426 : x
  2. Step 2: Convert to fraction form
    877,523,013,727/1,779,719,977,426 = 1,779,719,977,426/x
  3. Step 3: Cross multiply
    877,523,013,727x = 1,779,719,977,426 × 1,779,719,977,426
  4. Step 4: Simplify right side
    877,523,013,727x = 3,167,403,198,049,201,780,948,992
  5. Step 5: Solve for x
    x = 3,167,403,198,049,201,780,948,992/877,523,013,727
  6. Step 6: Final answer
    x = 3,609,481,630,113.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.