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Finding the Third Proportional to 661,527,748 and 985,841,430

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Solution

The third proportional to 661,527,748 and 985,841,430 is: 1,469,149,749.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,527,748 : 985,841,430 = 985,841,430 : x
  2. Step 2: Convert to fraction form
    661,527,748/985,841,430 = 985,841,430/x
  3. Step 3: Cross multiply
    661,527,748x = 985,841,430 × 985,841,430
  4. Step 4: Simplify right side
    661,527,748x = 971,883,325,104,444,928
  5. Step 5: Solve for x
    x = 971,883,325,104,444,928/661,527,748
  6. Step 6: Final answer
    x = 1,469,149,749.26

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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.