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Finding the Third Proportional to 607,396,319 and 907,121,379.50

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Solution

The third proportional to 607,396,319 and 907,121,379.50 is: 1,354,748,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,396,319 : 907,121,379.50 = 907,121,379.50 : x
  2. Step 2: Convert to fraction form
    607,396,319/907,121,379.50 = 907,121,379.50/x
  3. Step 3: Cross multiply
    607,396,319x = 907,121,379.50 × 907,121,379.50
  4. Step 4: Simplify right side
    607,396,319x = 822,869,197,145,982,976
  5. Step 5: Solve for x
    x = 822,869,197,145,982,976/607,396,319
  6. Step 6: Final answer
    x = 1,354,748,409.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.