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Finding the Third Proportional to 312,844,808 and 473,293,768

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Solution

The third proportional to 312,844,808 and 473,293,768 is: 716,032,310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,844,808 : 473,293,768 = 473,293,768 : x
  2. Step 2: Convert to fraction form
    312,844,808/473,293,768 = 473,293,768/x
  3. Step 3: Cross multiply
    312,844,808x = 473,293,768 × 473,293,768
  4. Step 4: Simplify right side
    312,844,808x = 224,006,990,827,637,824
  5. Step 5: Solve for x
    x = 224,006,990,827,637,824/312,844,808
  6. Step 6: Final answer
    x = 716,032,310.91

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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.