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Finding the Third Proportional to 312,844,405 and 473,293,056

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Solution

The third proportional to 312,844,405 and 473,293,056 is: 716,031,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,844,405 : 473,293,056 = 473,293,056 : x
  2. Step 2: Convert to fraction form
    312,844,405/473,293,056 = 473,293,056/x
  3. Step 3: Cross multiply
    312,844,405x = 473,293,056 × 473,293,056
  4. Step 4: Simplify right side
    312,844,405x = 224,006,316,857,819,136
  5. Step 5: Solve for x
    x = 224,006,316,857,819,136/312,844,405
  6. Step 6: Final answer
    x = 716,031,078.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.