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Finding the Third Proportional to 240,909,354,430 and 360,408,870,754

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Solution

The third proportional to 240,909,354,430 and 360,408,870,754 is: 539,184,351,830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,909,354,430 : 360,408,870,754 = 360,408,870,754 : x
  2. Step 2: Convert to fraction form
    240,909,354,430/360,408,870,754 = 360,408,870,754/x
  3. Step 3: Cross multiply
    240,909,354,430x = 360,408,870,754 × 360,408,870,754
  4. Step 4: Simplify right side
    240,909,354,430x = 129,894,554,118,173,484,908,544
  5. Step 5: Solve for x
    x = 129,894,554,118,173,484,908,544/240,909,354,430
  6. Step 6: Final answer
    x = 539,184,351,830.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.