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Finding the Third Proportional to 14,475,402 and 31,174,983

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Solution

The third proportional to 14,475,402 and 31,174,983 is: 67,140,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475,402 : 31,174,983 = 31,174,983 : x
  2. Step 2: Convert to fraction form
    14,475,402/31,174,983 = 31,174,983/x
  3. Step 3: Cross multiply
    14,475,402x = 31,174,983 × 31,174,983
  4. Step 4: Simplify right side
    14,475,402x = 971,879,565,050,289
  5. Step 5: Solve for x
    x = 971,879,565,050,289/14,475,402
  6. Step 6: Final answer
    x = 67,140,074.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.