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Finding the Third Proportional to 1,249,609,004 and 2,602,647,384

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Solution

The third proportional to 1,249,609,004 and 2,602,647,384 is: 5,420,714,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,609,004 : 2,602,647,384 = 2,602,647,384 : x
  2. Step 2: Convert to fraction form
    1,249,609,004/2,602,647,384 = 2,602,647,384/x
  3. Step 3: Cross multiply
    1,249,609,004x = 2,602,647,384 × 2,602,647,384
  4. Step 4: Simplify right side
    1,249,609,004x = 6,773,773,405,442,043,904
  5. Step 5: Solve for x
    x = 6,773,773,405,442,043,904/1,249,609,004
  6. Step 6: Final answer
    x = 5,420,714,306.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.