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Finding the Third Proportional to 555,227,492,205 and 1,209,024,227,323

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Solution

The third proportional to 555,227,492,205 and 1,209,024,227,323 is: 2,632,685,886,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,227,492,205 : 1,209,024,227,323 = 1,209,024,227,323 : x
  2. Step 2: Convert to fraction form
    555,227,492,205/1,209,024,227,323 = 1,209,024,227,323/x
  3. Step 3: Cross multiply
    555,227,492,205x = 1,209,024,227,323 × 1,209,024,227,323
  4. Step 4: Simplify right side
    555,227,492,205x = 1,461,739,582,253,977,118,441,472
  5. Step 5: Solve for x
    x = 1,461,739,582,253,977,118,441,472/555,227,492,205
  6. Step 6: Final answer
    x = 2,632,685,886,012.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.