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Finding the Third Proportional to 1,249,608,682 and 2,602,646,732

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Solution

The third proportional to 1,249,608,682 and 2,602,646,732 is: 5,420,712,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,608,682 : 2,602,646,732 = 2,602,646,732 : x
  2. Step 2: Convert to fraction form
    1,249,608,682/2,602,646,732 = 2,602,646,732/x
  3. Step 3: Cross multiply
    1,249,608,682x = 2,602,646,732 × 2,602,646,732
  4. Step 4: Simplify right side
    1,249,608,682x = 6,773,770,011,590,280,192
  5. Step 5: Solve for x
    x = 6,773,770,011,590,280,192/1,249,608,682
  6. Step 6: Final answer
    x = 5,420,712,987.32

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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.