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Finding the Third Proportional to 723,466,536 and 1,569,430,236

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Solution

The third proportional to 723,466,536 and 1,569,430,236 is: 3,404,595,987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,466,536 : 1,569,430,236 = 1,569,430,236 : x
  2. Step 2: Convert to fraction form
    723,466,536/1,569,430,236 = 1,569,430,236/x
  3. Step 3: Cross multiply
    723,466,536x = 1,569,430,236 × 1,569,430,236
  4. Step 4: Simplify right side
    723,466,536x = 2,463,111,265,671,015,936
  5. Step 5: Solve for x
    x = 2,463,111,265,671,015,936/723,466,536
  6. Step 6: Final answer
    x = 3,404,595,987.66

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