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Finding the Third Proportional to 46,466,428 and 69,699,642

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Solution

The third proportional to 46,466,428 and 69,699,642 is: 104,549,463

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,466,428 : 69,699,642 = 69,699,642 : x
  2. Step 2: Convert to fraction form
    46,466,428/69,699,642 = 69,699,642/x
  3. Step 3: Cross multiply
    46,466,428x = 69,699,642 × 69,699,642
  4. Step 4: Simplify right side
    46,466,428x = 4,858,040,094,928,164
  5. Step 5: Solve for x
    x = 4,858,040,094,928,164/46,466,428
  6. Step 6: Final answer
    x = 104,549,463

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.