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Finding the Third Proportional to 1,913,044,782,850 and 4,216,029,015,049

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Solution

The third proportional to 1,913,044,782,850 and 4,216,029,015,049 is: 9,291,419,006,540.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913,044,782,850 : 4,216,029,015,049 = 4,216,029,015,049 : x
  2. Step 2: Convert to fraction form
    1,913,044,782,850/4,216,029,015,049 = 4,216,029,015,049/x
  3. Step 3: Cross multiply
    1,913,044,782,850x = 4,216,029,015,049 × 4,216,029,015,049
  4. Step 4: Simplify right side
    1,913,044,782,850x = 17,774,900,655,735,041,303,773,184
  5. Step 5: Solve for x
    x = 17,774,900,655,735,041,303,773,184/1,913,044,782,850
  6. Step 6: Final answer
    x = 9,291,419,006,540.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.