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Finding the Third Proportional to 344,116,140 and 526,049,028

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Solution

The third proportional to 344,116,140 and 526,049,028 is: 804,169,138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,116,140 : 526,049,028 = 526,049,028 : x
  2. Step 2: Convert to fraction form
    344,116,140/526,049,028 = 526,049,028/x
  3. Step 3: Cross multiply
    344,116,140x = 526,049,028 × 526,049,028
  4. Step 4: Simplify right side
    344,116,140x = 276,727,579,859,744,768
  5. Step 5: Solve for x
    x = 276,727,579,859,744,768/344,116,140
  6. Step 6: Final answer
    x = 804,169,138.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.