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Finding the Third Proportional to 1,246,818,173 and 2,710,658,026

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Solution

The third proportional to 1,246,818,173 and 2,710,658,026 is: 5,893,134,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246,818,173 : 2,710,658,026 = 2,710,658,026 : x
  2. Step 2: Convert to fraction form
    1,246,818,173/2,710,658,026 = 2,710,658,026/x
  3. Step 3: Cross multiply
    1,246,818,173x = 2,710,658,026 × 2,710,658,026
  4. Step 4: Simplify right side
    1,246,818,173x = 7,347,666,933,918,216,192
  5. Step 5: Solve for x
    x = 7,347,666,933,918,216,192/1,246,818,173
  6. Step 6: Final answer
    x = 5,893,134,294.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.