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Finding the Third Proportional to 761,281,972 and 1,211,349,273

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Solution

The third proportional to 761,281,972 and 1,211,349,273 is: 1,927,494,824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,281,972 : 1,211,349,273 = 1,211,349,273 : x
  2. Step 2: Convert to fraction form
    761,281,972/1,211,349,273 = 1,211,349,273/x
  3. Step 3: Cross multiply
    761,281,972x = 1,211,349,273 × 1,211,349,273
  4. Step 4: Simplify right side
    761,281,972x = 1,467,367,061,197,628,416
  5. Step 5: Solve for x
    x = 1,467,367,061,197,628,416/761,281,972
  6. Step 6: Final answer
    x = 1,927,494,824.74

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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.