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Finding the Third Proportional to 573,064,714,057 and 1,226,631,402,199

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Solution

The third proportional to 573,064,714,057 and 1,226,631,402,199 is: 2,625,575,366,887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,064,714,057 : 1,226,631,402,199 = 1,226,631,402,199 : x
  2. Step 2: Convert to fraction form
    573,064,714,057/1,226,631,402,199 = 1,226,631,402,199/x
  3. Step 3: Cross multiply
    573,064,714,057x = 1,226,631,402,199 × 1,226,631,402,199
  4. Step 4: Simplify right side
    573,064,714,057x = 1,504,624,596,860,684,906,528,768
  5. Step 5: Solve for x
    x = 1,504,624,596,860,684,906,528,768/573,064,714,057
  6. Step 6: Final answer
    x = 2,625,575,366,887.84

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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.