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Finding the Third Proportional to 4,877,495.16 and 10,720,565.16

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Solution

The third proportional to 4,877,495.16 and 10,720,565.16 is: 23,563,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877,495.16 : 10,720,565.16 = 10,720,565.16 : x
  2. Step 2: Convert to fraction form
    4,877,495.16/10,720,565.16 = 10,720,565.16/x
  3. Step 3: Cross multiply
    4,877,495.16x = 10,720,565.16 × 10,720,565.16
  4. Step 4: Simplify right side
    4,877,495.16x = 114,930,517,269,401.59
  5. Step 5: Solve for x
    x = 114,930,517,269,401.59/4,877,495.16
  6. Step 6: Final answer
    x = 23,563,430.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.