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Finding the Third Proportional to 46,674,306.50 and 67,430,507

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Solution

The third proportional to 46,674,306.50 and 67,430,507 is: 97,417,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,674,306.50 : 67,430,507 = 67,430,507 : x
  2. Step 2: Convert to fraction form
    46,674,306.50/67,430,507 = 67,430,507/x
  3. Step 3: Cross multiply
    46,674,306.50x = 67,430,507 × 67,430,507
  4. Step 4: Simplify right side
    46,674,306.50x = 4,546,873,274,277,049
  5. Step 5: Solve for x
    x = 4,546,873,274,277,049/46,674,306.50
  6. Step 6: Final answer
    x = 97,417,050.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.