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Finding the Third Proportional to 196,365,628 and 427,207,624

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Solution

The third proportional to 196,365,628 and 427,207,624 is: 929,421,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,365,628 : 427,207,624 = 427,207,624 : x
  2. Step 2: Convert to fraction form
    196,365,628/427,207,624 = 427,207,624/x
  3. Step 3: Cross multiply
    196,365,628x = 427,207,624 × 427,207,624
  4. Step 4: Simplify right side
    196,365,628x = 182,506,354,003,725,376
  5. Step 5: Solve for x
    x = 182,506,354,003,725,376/196,365,628
  6. Step 6: Final answer
    x = 929,421,079.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.