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Finding the Third Proportional to 1,972,887,216 and 4,293,083,160

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Solution

The third proportional to 1,972,887,216 and 4,293,083,160 is: 9,341,924,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,887,216 : 4,293,083,160 = 4,293,083,160 : x
  2. Step 2: Convert to fraction form
    1,972,887,216/4,293,083,160 = 4,293,083,160/x
  3. Step 3: Cross multiply
    1,972,887,216x = 4,293,083,160 × 4,293,083,160
  4. Step 4: Simplify right side
    1,972,887,216x = 18,430,563,018,675,585,024
  5. Step 5: Solve for x
    x = 18,430,563,018,675,585,024/1,972,887,216
  6. Step 6: Final answer
    x = 9,341,924,297.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.