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Finding the Third Proportional to 342,070,911 and 746,843,557

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Solution

The third proportional to 342,070,911 and 746,843,557 is: 1,630,583,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,070,911 : 746,843,557 = 746,843,557 : x
  2. Step 2: Convert to fraction form
    342,070,911/746,843,557 = 746,843,557/x
  3. Step 3: Cross multiply
    342,070,911x = 746,843,557 × 746,843,557
  4. Step 4: Simplify right side
    342,070,911x = 557,775,298,632,412,224
  5. Step 5: Solve for x
    x = 557,775,298,632,412,224/342,070,911
  6. Step 6: Final answer
    x = 1,630,583,837.14

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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.