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Finding the Third Proportional to 30,300,079 and 47,013,216

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Solution

The third proportional to 30,300,079 and 47,013,216 is: 72,945,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,300,079 : 47,013,216 = 47,013,216 : x
  2. Step 2: Convert to fraction form
    30,300,079/47,013,216 = 47,013,216/x
  3. Step 3: Cross multiply
    30,300,079x = 47,013,216 × 47,013,216
  4. Step 4: Simplify right side
    30,300,079x = 2,210,242,478,662,656
  5. Step 5: Solve for x
    x = 2,210,242,478,662,656/30,300,079
  6. Step 6: Final answer
    x = 72,945,106.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.