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Finding the Third Proportional to 597,575,116.83 and 937,302,062.27

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Solution

The third proportional to 597,575,116.83 and 937,302,062.27 is: 1,470,166,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,575,116.83 : 937,302,062.27 = 937,302,062.27 : x
  2. Step 2: Convert to fraction form
    597,575,116.83/937,302,062.27 = 937,302,062.27/x
  3. Step 3: Cross multiply
    597,575,116.83x = 937,302,062.27 × 937,302,062.27
  4. Step 4: Simplify right side
    597,575,116.83x = 878,535,155,941,968,512
  5. Step 5: Solve for x
    x = 878,535,155,941,968,512/597,575,116.83
  6. Step 6: Final answer
    x = 1,470,166,898.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.