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Finding the Third Proportional to 730,966,740 and 1,595,881,488

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Solution

The third proportional to 730,966,740 and 1,595,881,488 is: 3,484,204,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,966,740 : 1,595,881,488 = 1,595,881,488 : x
  2. Step 2: Convert to fraction form
    730,966,740/1,595,881,488 = 1,595,881,488/x
  3. Step 3: Cross multiply
    730,966,740x = 1,595,881,488 × 1,595,881,488
  4. Step 4: Simplify right side
    730,966,740x = 2,546,837,723,741,093,888
  5. Step 5: Solve for x
    x = 2,546,837,723,741,093,888/730,966,740
  6. Step 6: Final answer
    x = 3,484,204,662.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.