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Finding the Third Proportional to 1,171,742,954 and 2,506,568,312

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Solution

The third proportional to 1,171,742,954 and 2,506,568,312 is: 5,361,999,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,742,954 : 2,506,568,312 = 2,506,568,312 : x
  2. Step 2: Convert to fraction form
    1,171,742,954/2,506,568,312 = 2,506,568,312/x
  3. Step 3: Cross multiply
    1,171,742,954x = 2,506,568,312 × 2,506,568,312
  4. Step 4: Simplify right side
    1,171,742,954x = 6,282,884,702,722,529,280
  5. Step 5: Solve for x
    x = 6,282,884,702,722,529,280/1,171,742,954
  6. Step 6: Final answer
    x = 5,361,999,132.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.