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Finding the Third Proportional to 342,072,030 and 746,868,678

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Solution

The third proportional to 342,072,030 and 746,868,678 is: 1,630,688,197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,072,030 : 746,868,678 = 746,868,678 : x
  2. Step 2: Convert to fraction form
    342,072,030/746,868,678 = 746,868,678/x
  3. Step 3: Cross multiply
    342,072,030x = 746,868,678 × 746,868,678
  4. Step 4: Simplify right side
    342,072,030x = 557,812,822,177,467,712
  5. Step 5: Solve for x
    x = 557,812,822,177,467,712/342,072,030
  6. Step 6: Final answer
    x = 1,630,688,197.97

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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.