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Finding the Third Proportional to 1,161,107,748,830 and 1,817,450,752,197

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Solution

The third proportional to 1,161,107,748,830 and 1,817,450,752,197 is: 2,844,806,814,862.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,107,748,830 : 1,817,450,752,197 = 1,817,450,752,197 : x
  2. Step 2: Convert to fraction form
    1,161,107,748,830/1,817,450,752,197 = 1,817,450,752,197/x
  3. Step 3: Cross multiply
    1,161,107,748,830x = 1,817,450,752,197 × 1,817,450,752,197
  4. Step 4: Simplify right side
    1,161,107,748,830x = 3,303,127,236,661,441,271,431,168
  5. Step 5: Solve for x
    x = 3,303,127,236,661,441,271,431,168/1,161,107,748,830
  6. Step 6: Final answer
    x = 2,844,806,814,862.67

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.