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Finding the Third Proportional to 3,116,605,631,257 and 6,702,249,693,206

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Solution

The third proportional to 3,116,605,631,257 and 6,702,249,693,206 is: 14,413,164,918,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116,605,631,257 : 6,702,249,693,206 = 6,702,249,693,206 : x
  2. Step 2: Convert to fraction form
    3,116,605,631,257/6,702,249,693,206 = 6,702,249,693,206/x
  3. Step 3: Cross multiply
    3,116,605,631,257x = 6,702,249,693,206 × 6,702,249,693,206
  4. Step 4: Simplify right side
    3,116,605,631,257x = 44,920,150,950,079,923,834,847,232
  5. Step 5: Solve for x
    x = 44,920,150,950,079,923,834,847,232/3,116,605,631,257
  6. Step 6: Final answer
    x = 14,413,164,918,771.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.