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Finding the Third Proportional to 724,342,242 and 1,569,018,578

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Solution

The third proportional to 724,342,242 and 1,569,018,578 is: 3,398,696,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,342,242 : 1,569,018,578 = 1,569,018,578 : x
  2. Step 2: Convert to fraction form
    724,342,242/1,569,018,578 = 1,569,018,578/x
  3. Step 3: Cross multiply
    724,342,242x = 1,569,018,578 × 1,569,018,578
  4. Step 4: Simplify right side
    724,342,242x = 2,461,819,298,109,142,016
  5. Step 5: Solve for x
    x = 2,461,819,298,109,142,016/724,342,242
  6. Step 6: Final answer
    x = 3,398,696,300.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.