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Finding the Third Proportional to 368,132,742 and 586,054,683

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Solution

The third proportional to 368,132,742 and 586,054,683 is: 932,978,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,132,742 : 586,054,683 = 586,054,683 : x
  2. Step 2: Convert to fraction form
    368,132,742/586,054,683 = 586,054,683/x
  3. Step 3: Cross multiply
    368,132,742x = 586,054,683 × 586,054,683
  4. Step 4: Simplify right side
    368,132,742x = 343,460,091,466,230,464
  5. Step 5: Solve for x
    x = 343,460,091,466,230,464/368,132,742
  6. Step 6: Final answer
    x = 932,978,929.29

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Why These Related Problems?

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