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Finding the Third Proportional to 909,410,596,741.50 and 1,956,750,103,289.50

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Solution

The third proportional to 909,410,596,741.50 and 1,956,750,103,289.50 is: 4,210,277,492,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,410,596,741.50 : 1,956,750,103,289.50 = 1,956,750,103,289.50 : x
  2. Step 2: Convert to fraction form
    909,410,596,741.50/1,956,750,103,289.50 = 1,956,750,103,289.50/x
  3. Step 3: Cross multiply
    909,410,596,741.50x = 1,956,750,103,289.50 × 1,956,750,103,289.50
  4. Step 4: Simplify right side
    909,410,596,741.50x = 3,828,870,966,723,468,662,407,168
  5. Step 5: Solve for x
    x = 3,828,870,966,723,468,662,407,168/909,410,596,741.50
  6. Step 6: Final answer
    x = 4,210,277,492,303.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.