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Finding the Third Proportional to 1,461,549,513 and 3,448,995,258

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Solution

The third proportional to 1,461,549,513 and 3,448,995,258 is: 8,139,011,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,549,513 : 3,448,995,258 = 3,448,995,258 : x
  2. Step 2: Convert to fraction form
    1,461,549,513/3,448,995,258 = 3,448,995,258/x
  3. Step 3: Cross multiply
    1,461,549,513x = 3,448,995,258 × 3,448,995,258
  4. Step 4: Simplify right side
    1,461,549,513x = 11,895,568,289,706,485,760
  5. Step 5: Solve for x
    x = 11,895,568,289,706,485,760/1,461,549,513
  6. Step 6: Final answer
    x = 8,139,011,496.98

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.