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Finding the Third Proportional to 9,704,830.22 and 20,772,946.13

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Solution

The third proportional to 9,704,830.22 and 20,772,946.13 is: 44,463,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704,830.22 : 20,772,946.13 = 20,772,946.13 : x
  2. Step 2: Convert to fraction form
    9,704,830.22/20,772,946.13 = 20,772,946.13/x
  3. Step 3: Cross multiply
    9,704,830.22x = 20,772,946.13 × 20,772,946.13
  4. Step 4: Simplify right side
    9,704,830.22x = 431,515,290,712,152.50
  5. Step 5: Solve for x
    x = 431,515,290,712,152.50/9,704,830.22
  6. Step 6: Final answer
    x = 44,463,971.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.