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Finding the Third Proportional to 47,411,998 and 103,438,538

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Solution

The third proportional to 47,411,998 and 103,438,538 is: 225,671,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,411,998 : 103,438,538 = 103,438,538 : x
  2. Step 2: Convert to fraction form
    47,411,998/103,438,538 = 103,438,538/x
  3. Step 3: Cross multiply
    47,411,998x = 103,438,538 × 103,438,538
  4. Step 4: Simplify right side
    47,411,998x = 10,699,531,143,577,444
  5. Step 5: Solve for x
    x = 10,699,531,143,577,444/47,411,998
  6. Step 6: Final answer
    x = 225,671,382.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.