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Finding the Third Proportional to 237,380,871 and 506,116,518

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Solution

The third proportional to 237,380,871 and 506,116,518 is: 1,079,084,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,380,871 : 506,116,518 = 506,116,518 : x
  2. Step 2: Convert to fraction form
    237,380,871/506,116,518 = 506,116,518/x
  3. Step 3: Cross multiply
    237,380,871x = 506,116,518 × 506,116,518
  4. Step 4: Simplify right side
    237,380,871x = 256,153,929,792,444,320
  5. Step 5: Solve for x
    x = 256,153,929,792,444,320/237,380,871
  6. Step 6: Final answer
    x = 1,079,084,126.34

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.