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Finding the Third Proportional to 473,167,536 and 1,029,654,012

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Solution

The third proportional to 473,167,536 and 1,029,654,012 is: 2,240,617,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,167,536 : 1,029,654,012 = 1,029,654,012 : x
  2. Step 2: Convert to fraction form
    473,167,536/1,029,654,012 = 1,029,654,012/x
  3. Step 3: Cross multiply
    473,167,536x = 1,029,654,012 × 1,029,654,012
  4. Step 4: Simplify right side
    473,167,536x = 1,060,187,384,427,696,128
  5. Step 5: Solve for x
    x = 1,060,187,384,427,696,128/473,167,536
  6. Step 6: Final answer
    x = 2,240,617,336.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.