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Finding the Third Proportional to 1,748,695,023 and 2,500,653,089.25

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Solution

The third proportional to 1,748,695,023 and 2,500,653,089.25 is: 3,575,961,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,695,023 : 2,500,653,089.25 = 2,500,653,089.25 : x
  2. Step 2: Convert to fraction form
    1,748,695,023/2,500,653,089.25 = 2,500,653,089.25/x
  3. Step 3: Cross multiply
    1,748,695,023x = 2,500,653,089.25 × 2,500,653,089.25
  4. Step 4: Simplify right side
    1,748,695,023x = 6,253,265,872,775,568,384
  5. Step 5: Solve for x
    x = 6,253,265,872,775,568,384/1,748,695,023
  6. Step 6: Final answer
    x = 3,575,961,382.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.