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Finding the Third Proportional to 438,823,013 and 913,966,264

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Solution

The third proportional to 438,823,013 and 913,966,264 is: 1,903,579,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,823,013 : 913,966,264 = 913,966,264 : x
  2. Step 2: Convert to fraction form
    438,823,013/913,966,264 = 913,966,264/x
  3. Step 3: Cross multiply
    438,823,013x = 913,966,264 × 913,966,264
  4. Step 4: Simplify right side
    438,823,013x = 835,334,331,730,117,632
  5. Step 5: Solve for x
    x = 835,334,331,730,117,632/438,823,013
  6. Step 6: Final answer
    x = 1,903,579,135.51

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