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Finding the Third Proportional to 130,757,666,460 and 186,983,685,714

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Solution

The third proportional to 130,757,666,460 and 186,983,685,714 is: 267,386,988,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,757,666,460 : 186,983,685,714 = 186,983,685,714 : x
  2. Step 2: Convert to fraction form
    130,757,666,460/186,983,685,714 = 186,983,685,714/x
  3. Step 3: Cross multiply
    130,757,666,460x = 186,983,685,714 × 186,983,685,714
  4. Step 4: Simplify right side
    130,757,666,460x = 34,962,898,723,191,927,078,912
  5. Step 5: Solve for x
    x = 34,962,898,723,191,927,078,912/130,757,666,460
  6. Step 6: Final answer
    x = 267,386,988,998.37

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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.