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Finding the Third Proportional to 438,823,008 and 913,966,254

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Solution

The third proportional to 438,823,008 and 913,966,254 is: 1,903,579,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,823,008 : 913,966,254 = 913,966,254 : x
  2. Step 2: Convert to fraction form
    438,823,008/913,966,254 = 913,966,254/x
  3. Step 3: Cross multiply
    438,823,008x = 913,966,254 × 913,966,254
  4. Step 4: Simplify right side
    438,823,008x = 835,334,313,450,792,576
  5. Step 5: Solve for x
    x = 835,334,313,450,792,576/438,823,008
  6. Step 6: Final answer
    x = 1,903,579,115.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.