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Finding the Third Proportional to 1,911,709,470 and 2,952,463,547

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Solution

The third proportional to 1,911,709,470 and 2,952,463,547 is: 4,559,814,727.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911,709,470 : 2,952,463,547 = 2,952,463,547 : x
  2. Step 2: Convert to fraction form
    1,911,709,470/2,952,463,547 = 2,952,463,547/x
  3. Step 3: Cross multiply
    1,911,709,470x = 2,952,463,547 × 2,952,463,547
  4. Step 4: Simplify right side
    1,911,709,470x = 8,717,040,996,363,821,056
  5. Step 5: Solve for x
    x = 8,717,040,996,363,821,056/1,911,709,470
  6. Step 6: Final answer
    x = 4,559,814,727.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.