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Finding the Third Proportional to 5,295,685,491,623 and 7,572,839,271,406

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Solution

The third proportional to 5,295,685,491,623 and 7,572,839,271,406 is: 10,829,173,054,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295,685,491,623 : 7,572,839,271,406 = 7,572,839,271,406 : x
  2. Step 2: Convert to fraction form
    5,295,685,491,623/7,572,839,271,406 = 7,572,839,271,406/x
  3. Step 3: Cross multiply
    5,295,685,491,623x = 7,572,839,271,406 × 7,572,839,271,406
  4. Step 4: Simplify right side
    5,295,685,491,623x = 57,347,894,630,548,958,366,138,368
  5. Step 5: Solve for x
    x = 57,347,894,630,548,958,366,138,368/5,295,685,491,623
  6. Step 6: Final answer
    x = 10,829,173,054,416.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.