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Finding the Third Proportional to 20,746,596 and 31,406,310

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Solution

The third proportional to 20,746,596 and 31,406,310 is: 47,543,043.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,746,596 : 31,406,310 = 31,406,310 : x
  2. Step 2: Convert to fraction form
    20,746,596/31,406,310 = 31,406,310/x
  3. Step 3: Cross multiply
    20,746,596x = 31,406,310 × 31,406,310
  4. Step 4: Simplify right side
    20,746,596x = 986,356,307,816,100
  5. Step 5: Solve for x
    x = 986,356,307,816,100/20,746,596
  6. Step 6: Final answer
    x = 47,543,043.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.