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Finding the Third Proportional to 1,440,582,572 and 3,099,567,712

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Solution

The third proportional to 1,440,582,572 and 3,099,567,712 is: 6,669,051,943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440,582,572 : 3,099,567,712 = 3,099,567,712 : x
  2. Step 2: Convert to fraction form
    1,440,582,572/3,099,567,712 = 3,099,567,712/x
  3. Step 3: Cross multiply
    1,440,582,572x = 3,099,567,712 × 3,099,567,712
  4. Step 4: Simplify right side
    1,440,582,572x = 9,607,320,001,272,913,920
  5. Step 5: Solve for x
    x = 9,607,320,001,272,913,920/1,440,582,572
  6. Step 6: Final answer
    x = 6,669,051,943.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.