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Finding the Third Proportional to 5,523,023 and 11,429,518

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Solution

The third proportional to 5,523,023 and 11,429,518 is: 23,652,605.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523,023 : 11,429,518 = 11,429,518 : x
  2. Step 2: Convert to fraction form
    5,523,023/11,429,518 = 11,429,518/x
  3. Step 3: Cross multiply
    5,523,023x = 11,429,518 × 11,429,518
  4. Step 4: Simplify right side
    5,523,023x = 130,633,881,712,324
  5. Step 5: Solve for x
    x = 130,633,881,712,324/5,523,023
  6. Step 6: Final answer
    x = 23,652,605.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.