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Finding the Third Proportional to 353,139,174 and 760,248,786

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Solution

The third proportional to 353,139,174 and 760,248,786 is: 1,636,686,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,139,174 : 760,248,786 = 760,248,786 : x
  2. Step 2: Convert to fraction form
    353,139,174/760,248,786 = 760,248,786/x
  3. Step 3: Cross multiply
    353,139,174x = 760,248,786 × 760,248,786
  4. Step 4: Simplify right side
    353,139,174x = 577,978,216,614,473,856
  5. Step 5: Solve for x
    x = 577,978,216,614,473,856/353,139,174
  6. Step 6: Final answer
    x = 1,636,686,777.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.