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Finding the Third Proportional to 312,844,399 and 473,293,047

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Solution

The third proportional to 312,844,399 and 473,293,047 is: 716,031,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,844,399 : 473,293,047 = 473,293,047 : x
  2. Step 2: Convert to fraction form
    312,844,399/473,293,047 = 473,293,047/x
  3. Step 3: Cross multiply
    312,844,399x = 473,293,047 × 473,293,047
  4. Step 4: Simplify right side
    312,844,399x = 224,006,308,338,544,224
  5. Step 5: Solve for x
    x = 224,006,308,338,544,224/312,844,399
  6. Step 6: Final answer
    x = 716,031,065.46

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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.