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Finding the Third Proportional to 573,064,714,059 and 1,226,631,402,207

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Solution

The third proportional to 573,064,714,059 and 1,226,631,402,207 is: 2,625,575,366,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,064,714,059 : 1,226,631,402,207 = 1,226,631,402,207 : x
  2. Step 2: Convert to fraction form
    573,064,714,059/1,226,631,402,207 = 1,226,631,402,207/x
  3. Step 3: Cross multiply
    573,064,714,059x = 1,226,631,402,207 × 1,226,631,402,207
  4. Step 4: Simplify right side
    573,064,714,059x = 1,504,624,596,880,311,028,023,296
  5. Step 5: Solve for x
    x = 1,504,624,596,880,311,028,023,296/573,064,714,059
  6. Step 6: Final answer
    x = 2,625,575,366,912.93

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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.