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Finding the Third Proportional to 272,430,924 and 605,328,024

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Solution

The third proportional to 272,430,924 and 605,328,024 is: 1,345,008,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,430,924 : 605,328,024 = 605,328,024 : x
  2. Step 2: Convert to fraction form
    272,430,924/605,328,024 = 605,328,024/x
  3. Step 3: Cross multiply
    272,430,924x = 605,328,024 × 605,328,024
  4. Step 4: Simplify right side
    272,430,924x = 366,422,016,639,744,576
  5. Step 5: Solve for x
    x = 366,422,016,639,744,576/272,430,924
  6. Step 6: Final answer
    x = 1,345,008,897.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.