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Finding the Third Proportional to 607,882,465 and 1,433,555,714.50

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Solution

The third proportional to 607,882,465 and 1,433,555,714.50 is: 3,380,722,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,882,465 : 1,433,555,714.50 = 1,433,555,714.50 : x
  2. Step 2: Convert to fraction form
    607,882,465/1,433,555,714.50 = 1,433,555,714.50/x
  3. Step 3: Cross multiply
    607,882,465x = 1,433,555,714.50 × 1,433,555,714.50
  4. Step 4: Simplify right side
    607,882,465x = 2,055,081,986,575,605,504
  5. Step 5: Solve for x
    x = 2,055,081,986,575,605,504/607,882,465
  6. Step 6: Final answer
    x = 3,380,722,598.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.