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Finding the Third Proportional to 3,116,605,631,645 and 6,702,249,693,980

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Solution

The third proportional to 3,116,605,631,645 and 6,702,249,693,980 is: 14,413,164,920,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116,605,631,645 : 6,702,249,693,980 = 6,702,249,693,980 : x
  2. Step 2: Convert to fraction form
    3,116,605,631,645/6,702,249,693,980 = 6,702,249,693,980/x
  3. Step 3: Cross multiply
    3,116,605,631,645x = 6,702,249,693,980 × 6,702,249,693,980
  4. Step 4: Simplify right side
    3,116,605,631,645x = 44,920,150,960,455,001,453,887,488
  5. Step 5: Solve for x
    x = 44,920,150,960,455,001,453,887,488/3,116,605,631,645
  6. Step 6: Final answer
    x = 14,413,164,920,306.37

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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.