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Finding the Third Proportional to 346,302,926 and 761,865,226

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Solution

The third proportional to 346,302,926 and 761,865,226 is: 1,676,100,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,302,926 : 761,865,226 = 761,865,226 : x
  2. Step 2: Convert to fraction form
    346,302,926/761,865,226 = 761,865,226/x
  3. Step 3: Cross multiply
    346,302,926x = 761,865,226 × 761,865,226
  4. Step 4: Simplify right side
    346,302,926x = 580,438,622,588,031,104
  5. Step 5: Solve for x
    x = 580,438,622,588,031,104/346,302,926
  6. Step 6: Final answer
    x = 1,676,100,832.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.