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Finding the Third Proportional to 438,820,034 and 913,960,944

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Solution

The third proportional to 438,820,034 and 913,960,944 is: 1,903,569,897.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,820,034 : 913,960,944 = 913,960,944 : x
  2. Step 2: Convert to fraction form
    438,820,034/913,960,944 = 913,960,944/x
  3. Step 3: Cross multiply
    438,820,034x = 913,960,944 × 913,960,944
  4. Step 4: Simplify right side
    438,820,034x = 835,324,607,157,371,136
  5. Step 5: Solve for x
    x = 835,324,607,157,371,136/438,820,034
  6. Step 6: Final answer
    x = 1,903,569,897.53

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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.