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Finding the Third Proportional to 1,727,000,090 and 2,652,883,380

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Solution

The third proportional to 1,727,000,090 and 2,652,883,380 is: 4,075,153,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727,000,090 : 2,652,883,380 = 2,652,883,380 : x
  2. Step 2: Convert to fraction form
    1,727,000,090/2,652,883,380 = 2,652,883,380/x
  3. Step 3: Cross multiply
    1,727,000,090x = 2,652,883,380 × 2,652,883,380
  4. Step 4: Simplify right side
    1,727,000,090x = 7,037,790,227,880,224,768
  5. Step 5: Solve for x
    x = 7,037,790,227,880,224,768/1,727,000,090
  6. Step 6: Final answer
    x = 4,075,153,364.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.