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Finding the Third Proportional to 6,557,203,492 and 10,072,666,623

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Solution

The third proportional to 6,557,203,492 and 10,072,666,623 is: 15,472,847,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557,203,492 : 10,072,666,623 = 10,072,666,623 : x
  2. Step 2: Convert to fraction form
    6,557,203,492/10,072,666,623 = 10,072,666,623/x
  3. Step 3: Cross multiply
    6,557,203,492x = 10,072,666,623 × 10,072,666,623
  4. Step 4: Simplify right side
    6,557,203,492x = 101,458,612,898,098,216,960
  5. Step 5: Solve for x
    x = 101,458,612,898,098,216,960/6,557,203,492
  6. Step 6: Final answer
    x = 15,472,847,994.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.