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Finding the Third Proportional to 560,946,682,279 and 1,137,502,361,226

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Solution

The third proportional to 560,946,682,279 and 1,137,502,361,226 is: 2,306,657,054,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,946,682,279 : 1,137,502,361,226 = 1,137,502,361,226 : x
  2. Step 2: Convert to fraction form
    560,946,682,279/1,137,502,361,226 = 1,137,502,361,226/x
  3. Step 3: Cross multiply
    560,946,682,279x = 1,137,502,361,226 × 1,137,502,361,226
  4. Step 4: Simplify right side
    560,946,682,279x = 1,293,911,621,794,725,439,209,472
  5. Step 5: Solve for x
    x = 1,293,911,621,794,725,439,209,472/560,946,682,279
  6. Step 6: Final answer
    x = 2,306,657,054,352.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.