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Finding the Third Proportional to 1,872,509,219 and 2,754,467,475

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Solution

The third proportional to 1,872,509,219 and 2,754,467,475 is: 4,051,831,090.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872,509,219 : 2,754,467,475 = 2,754,467,475 : x
  2. Step 2: Convert to fraction form
    1,872,509,219/2,754,467,475 = 2,754,467,475/x
  3. Step 3: Cross multiply
    1,872,509,219x = 2,754,467,475 × 2,754,467,475
  4. Step 4: Simplify right side
    1,872,509,219x = 7,587,091,070,832,875,520
  5. Step 5: Solve for x
    x = 7,587,091,070,832,875,520/1,872,509,219
  6. Step 6: Final answer
    x = 4,051,831,090.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.