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Finding the Third Proportional to 335,898,139,226 and 740,263,018,534

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Solution

The third proportional to 335,898,139,226 and 740,263,018,534 is: 1,631,415,219,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,898,139,226 : 740,263,018,534 = 740,263,018,534 : x
  2. Step 2: Convert to fraction form
    335,898,139,226/740,263,018,534 = 740,263,018,534/x
  3. Step 3: Cross multiply
    335,898,139,226x = 740,263,018,534 × 740,263,018,534
  4. Step 4: Simplify right side
    335,898,139,226x = 547,989,336,609,069,216,038,912
  5. Step 5: Solve for x
    x = 547,989,336,609,069,216,038,912/335,898,139,226
  6. Step 6: Final answer
    x = 1,631,415,219,720.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.