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Finding the Third Proportional to 342,072,018 and 746,868,654

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Solution

The third proportional to 342,072,018 and 746,868,654 is: 1,630,688,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,072,018 : 746,868,654 = 746,868,654 : x
  2. Step 2: Convert to fraction form
    342,072,018/746,868,654 = 746,868,654/x
  3. Step 3: Cross multiply
    342,072,018x = 746,868,654 × 746,868,654
  4. Step 4: Simplify right side
    342,072,018x = 557,812,786,327,771,712
  5. Step 5: Solve for x
    x = 557,812,786,327,771,712/342,072,018
  6. Step 6: Final answer
    x = 1,630,688,150.38

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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.