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Finding the Third Proportional to 573,064,714,050.75 and 1,226,631,402,189

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Solution

The third proportional to 573,064,714,050.75 and 1,226,631,402,189 is: 2,625,575,366,873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,064,714,050.75 : 1,226,631,402,189 = 1,226,631,402,189 : x
  2. Step 2: Convert to fraction form
    573,064,714,050.75/1,226,631,402,189 = 1,226,631,402,189/x
  3. Step 3: Cross multiply
    573,064,714,050.75x = 1,226,631,402,189 × 1,226,631,402,189
  4. Step 4: Simplify right side
    573,064,714,050.75x = 1,504,624,596,836,152,321,769,472
  5. Step 5: Solve for x
    x = 1,504,624,596,836,152,321,769,472/573,064,714,050.75
  6. Step 6: Final answer
    x = 2,625,575,366,873.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.