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Finding the Third Proportional to 130,757,666,442 and 186,983,685,684

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Solution

The third proportional to 130,757,666,442 and 186,983,685,684 is: 267,386,988,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,757,666,442 : 186,983,685,684 = 186,983,685,684 : x
  2. Step 2: Convert to fraction form
    130,757,666,442/186,983,685,684 = 186,983,685,684/x
  3. Step 3: Cross multiply
    130,757,666,442x = 186,983,685,684 × 186,983,685,684
  4. Step 4: Simplify right side
    130,757,666,442x = 34,962,898,711,972,906,270,720
  5. Step 5: Solve for x
    x = 34,962,898,711,972,906,270,720/130,757,666,442
  6. Step 6: Final answer
    x = 267,386,988,949.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.