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Finding the Third Proportional to 7,083,213,072 and 10,585,780,200

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Solution

The third proportional to 7,083,213,072 and 10,585,780,200 is: 15,820,326,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083,213,072 : 10,585,780,200 = 10,585,780,200 : x
  2. Step 2: Convert to fraction form
    7,083,213,072/10,585,780,200 = 10,585,780,200/x
  3. Step 3: Cross multiply
    7,083,213,072x = 10,585,780,200 × 10,585,780,200
  4. Step 4: Simplify right side
    7,083,213,072x = 112,058,742,442,712,039,424
  5. Step 5: Solve for x
    x = 112,058,742,442,712,039,424/7,083,213,072
  6. Step 6: Final answer
    x = 15,820,326,355.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.