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Finding the Third Proportional to 1,547,207,158 and 3,339,435,752

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Solution

The third proportional to 1,547,207,158 and 3,339,435,752 is: 7,207,716,874.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,207,158 : 3,339,435,752 = 3,339,435,752 : x
  2. Step 2: Convert to fraction form
    1,547,207,158/3,339,435,752 = 3,339,435,752/x
  3. Step 3: Cross multiply
    1,547,207,158x = 3,339,435,752 × 3,339,435,752
  4. Step 4: Simplify right side
    1,547,207,158x = 11,151,831,141,735,804,928
  5. Step 5: Solve for x
    x = 11,151,831,141,735,804,928/1,547,207,158
  6. Step 6: Final answer
    x = 7,207,716,874.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.