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Finding the Third Proportional to 761,281,281.84 and 1,211,348,150.44

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Solution

The third proportional to 761,281,281.84 and 1,211,348,150.44 is: 1,927,492,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,281,281.84 : 1,211,348,150.44 = 1,211,348,150.44 : x
  2. Step 2: Convert to fraction form
    761,281,281.84/1,211,348,150.44 = 1,211,348,150.44/x
  3. Step 3: Cross multiply
    761,281,281.84x = 1,211,348,150.44 × 1,211,348,150.44
  4. Step 4: Simplify right side
    761,281,281.84x = 1,467,364,341,568,352,256
  5. Step 5: Solve for x
    x = 1,467,364,341,568,352,256/761,281,281.84
  6. Step 6: Final answer
    x = 1,927,492,999.72

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