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Finding the Third Proportional to 325,723,138 and 709,973,636

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Solution

The third proportional to 325,723,138 and 709,973,636 is: 1,547,518,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,723,138 : 709,973,636 = 709,973,636 : x
  2. Step 2: Convert to fraction form
    325,723,138/709,973,636 = 709,973,636/x
  3. Step 3: Cross multiply
    325,723,138x = 709,973,636 × 709,973,636
  4. Step 4: Simplify right side
    325,723,138x = 504,062,563,815,060,480
  5. Step 5: Solve for x
    x = 504,062,563,815,060,480/325,723,138
  6. Step 6: Final answer
    x = 1,547,518,444.38

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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.