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Finding the Third Proportional to 3,116,605,631,264 and 6,702,249,693,226

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Solution

The third proportional to 3,116,605,631,264 and 6,702,249,693,226 is: 14,413,164,918,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116,605,631,264 : 6,702,249,693,226 = 6,702,249,693,226 : x
  2. Step 2: Convert to fraction form
    3,116,605,631,264/6,702,249,693,226 = 6,702,249,693,226/x
  3. Step 3: Cross multiply
    3,116,605,631,264x = 6,702,249,693,226 × 6,702,249,693,226
  4. Step 4: Simplify right side
    3,116,605,631,264x = 44,920,150,950,348,007,103,528,960
  5. Step 5: Solve for x
    x = 44,920,150,950,348,007,103,528,960/3,116,605,631,264
  6. Step 6: Final answer
    x = 14,413,164,918,825.41

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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.