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Finding the Third Proportional to 16,564,356 and 35,431,622.63

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Solution

The third proportional to 16,564,356 and 35,431,622.63 is: 75,789,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564,356 : 35,431,622.63 = 35,431,622.63 : x
  2. Step 2: Convert to fraction form
    16,564,356/35,431,622.63 = 35,431,622.63/x
  3. Step 3: Cross multiply
    16,564,356x = 35,431,622.63 × 35,431,622.63
  4. Step 4: Simplify right side
    16,564,356x = 1,255,399,881,840,412
  5. Step 5: Solve for x
    x = 1,255,399,881,840,412/16,564,356
  6. Step 6: Final answer
    x = 75,789,235.74

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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.