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Finding the Third Proportional to 46,347,306.75 and 70,117,467

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Solution

The third proportional to 46,347,306.75 and 70,117,467 is: 106,078,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,347,306.75 : 70,117,467 = 70,117,467 : x
  2. Step 2: Convert to fraction form
    46,347,306.75/70,117,467 = 70,117,467/x
  3. Step 3: Cross multiply
    46,347,306.75x = 70,117,467 × 70,117,467
  4. Step 4: Simplify right side
    46,347,306.75x = 4,916,459,178,496,089
  5. Step 5: Solve for x
    x = 4,916,459,178,496,089/46,347,306.75
  6. Step 6: Final answer
    x = 106,078,638.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.