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Finding the Third Proportional to 470,991,282,477 and 1,027,227,030,294

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Solution

The third proportional to 470,991,282,477 and 1,027,227,030,294 is: 2,240,371,342,368.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,991,282,477 : 1,027,227,030,294 = 1,027,227,030,294 : x
  2. Step 2: Convert to fraction form
    470,991,282,477/1,027,227,030,294 = 1,027,227,030,294/x
  3. Step 3: Cross multiply
    470,991,282,477x = 1,027,227,030,294 × 1,027,227,030,294
  4. Step 4: Simplify right side
    470,991,282,477x = 1,055,195,371,766,630,418,743,296
  5. Step 5: Solve for x
    x = 1,055,195,371,766,630,418,743,296/470,991,282,477
  6. Step 6: Final answer
    x = 2,240,371,342,368.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.