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Finding the Third Proportional to 761,281,968 and 1,211,349,267

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Solution

The third proportional to 761,281,968 and 1,211,349,267 is: 1,927,494,815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,281,968 : 1,211,349,267 = 1,211,349,267 : x
  2. Step 2: Convert to fraction form
    761,281,968/1,211,349,267 = 1,211,349,267/x
  3. Step 3: Cross multiply
    761,281,968x = 1,211,349,267 × 1,211,349,267
  4. Step 4: Simplify right side
    761,281,968x = 1,467,367,046,661,437,184
  5. Step 5: Solve for x
    x = 1,467,367,046,661,437,184/761,281,968
  6. Step 6: Final answer
    x = 1,927,494,815.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.