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Finding the Third Proportional to 17,773,087,006 and 38,220,962,490

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Solution

The third proportional to 17,773,087,006 and 38,220,962,490 is: 82,194,048,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,773,087,006 : 38,220,962,490 = 38,220,962,490 : x
  2. Step 2: Convert to fraction form
    17,773,087,006/38,220,962,490 = 38,220,962,490/x
  3. Step 3: Cross multiply
    17,773,087,006x = 38,220,962,490 × 38,220,962,490
  4. Step 4: Simplify right side
    17,773,087,006x = 1,460,841,973,661,986,979,840
  5. Step 5: Solve for x
    x = 1,460,841,973,661,986,979,840/17,773,087,006
  6. Step 6: Final answer
    x = 82,194,048,404.13

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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.