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Finding the Third Proportional to 21,685,684 and 47,148,776

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Solution

The third proportional to 21,685,684 and 47,148,776 is: 102,510,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,685,684 : 47,148,776 = 47,148,776 : x
  2. Step 2: Convert to fraction form
    21,685,684/47,148,776 = 47,148,776/x
  3. Step 3: Cross multiply
    21,685,684x = 47,148,776 × 47,148,776
  4. Step 4: Simplify right side
    21,685,684x = 2,223,007,078,298,176
  5. Step 5: Solve for x
    x = 2,223,007,078,298,176/21,685,684
  6. Step 6: Final answer
    x = 102,510,350.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.