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Finding the Third Proportional to 12,522,209,583 and 27,294,421,290

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Solution

The third proportional to 12,522,209,583 and 27,294,421,290 is: 59,493,129,277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522,209,583 : 27,294,421,290 = 27,294,421,290 : x
  2. Step 2: Convert to fraction form
    12,522,209,583/27,294,421,290 = 27,294,421,290/x
  3. Step 3: Cross multiply
    12,522,209,583x = 27,294,421,290 × 27,294,421,290
  4. Step 4: Simplify right side
    12,522,209,583x = 744,985,433,556,005,289,984
  5. Step 5: Solve for x
    x = 744,985,433,556,005,289,984/12,522,209,583
  6. Step 6: Final answer
    x = 59,493,129,277.07

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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.