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Finding the Third Proportional to 877,523,013,724.50 and 1,779,719,977,422

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Solution

The third proportional to 877,523,013,724.50 and 1,779,719,977,422 is: 3,609,481,630,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,523,013,724.50 : 1,779,719,977,422 = 1,779,719,977,422 : x
  2. Step 2: Convert to fraction form
    877,523,013,724.50/1,779,719,977,422 = 1,779,719,977,422/x
  3. Step 3: Cross multiply
    877,523,013,724.50x = 1,779,719,977,422 × 1,779,719,977,422
  4. Step 4: Simplify right side
    877,523,013,724.50x = 3,167,403,198,034,963,964,362,752
  5. Step 5: Solve for x
    x = 3,167,403,198,034,963,964,362,752/877,523,013,724.50
  6. Step 6: Final answer
    x = 3,609,481,630,107.28

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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.