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Finding the Third Proportional to 9,785,376 and 20,830,473

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Solution

The third proportional to 9,785,376 and 20,830,473 is: 44,342,558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785,376 : 20,830,473 = 20,830,473 : x
  2. Step 2: Convert to fraction form
    9,785,376/20,830,473 = 20,830,473/x
  3. Step 3: Cross multiply
    9,785,376x = 20,830,473 × 20,830,473
  4. Step 4: Simplify right side
    9,785,376x = 433,908,605,403,729
  5. Step 5: Solve for x
    x = 433,908,605,403,729/9,785,376
  6. Step 6: Final answer
    x = 44,342,558.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.