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Finding the Third Proportional to 1,249,487,976 and 1,828,237,341

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Solution

The third proportional to 1,249,487,976 and 1,828,237,341 is: 2,675,057,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,487,976 : 1,828,237,341 = 1,828,237,341 : x
  2. Step 2: Convert to fraction form
    1,249,487,976/1,828,237,341 = 1,828,237,341/x
  3. Step 3: Cross multiply
    1,249,487,976x = 1,828,237,341 × 1,828,237,341
  4. Step 4: Simplify right side
    1,249,487,976x = 3,342,451,775,026,750,464
  5. Step 5: Solve for x
    x = 3,342,451,775,026,750,464/1,249,487,976
  6. Step 6: Final answer
    x = 2,675,057,174.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.