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Finding the Third Proportional to 545,520,480 and 1,196,656,536

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Solution

The third proportional to 545,520,480 and 1,196,656,536 is: 2,624,991,943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,520,480 : 1,196,656,536 = 1,196,656,536 : x
  2. Step 2: Convert to fraction form
    545,520,480/1,196,656,536 = 1,196,656,536/x
  3. Step 3: Cross multiply
    545,520,480x = 1,196,656,536 × 1,196,656,536
  4. Step 4: Simplify right side
    545,520,480x = 1,431,986,865,151,519,232
  5. Step 5: Solve for x
    x = 1,431,986,865,151,519,232/545,520,480
  6. Step 6: Final answer
    x = 2,624,991,943.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.