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Finding the Third Proportional to 46,024,391 and 76,698,201

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Solution

The third proportional to 46,024,391 and 76,698,201 is: 127,815,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,024,391 : 76,698,201 = 76,698,201 : x
  2. Step 2: Convert to fraction form
    46,024,391/76,698,201 = 76,698,201/x
  3. Step 3: Cross multiply
    46,024,391x = 76,698,201 × 76,698,201
  4. Step 4: Simplify right side
    46,024,391x = 5,882,614,036,636,401
  5. Step 5: Solve for x
    x = 5,882,614,036,636,401/46,024,391
  6. Step 6: Final answer
    x = 127,815,141.25

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.