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Finding the Third Proportional to 3,704,419,662,528 and 8,024,256,506,112

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Solution

The third proportional to 3,704,419,662,528 and 8,024,256,506,112 is: 17,381,586,953,336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704,419,662,528 : 8,024,256,506,112 = 8,024,256,506,112 : x
  2. Step 2: Convert to fraction form
    3,704,419,662,528/8,024,256,506,112 = 8,024,256,506,112/x
  3. Step 3: Cross multiply
    3,704,419,662,528x = 8,024,256,506,112 × 8,024,256,506,112
  4. Step 4: Simplify right side
    3,704,419,662,528x = 64,388,692,475,880,760,871,485,440
  5. Step 5: Solve for x
    x = 64,388,692,475,880,760,871,485,440/3,704,419,662,528
  6. Step 6: Final answer
    x = 17,381,586,953,336.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.