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Finding the Third Proportional to 1,249,488,424 and 1,828,237,932

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Solution

The third proportional to 1,249,488,424 and 1,828,237,932 is: 2,675,057,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,488,424 : 1,828,237,932 = 1,828,237,932 : x
  2. Step 2: Convert to fraction form
    1,249,488,424/1,828,237,932 = 1,828,237,932/x
  3. Step 3: Cross multiply
    1,249,488,424x = 1,828,237,932 × 1,828,237,932
  4. Step 4: Simplify right side
    1,249,488,424x = 3,342,453,936,003,636,736
  5. Step 5: Solve for x
    x = 3,342,453,936,003,636,736/1,249,488,424
  6. Step 6: Final answer
    x = 2,675,057,945.16

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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.