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Finding the Third Proportional to 3,454,708,456 and 7,459,900,612

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Solution

The third proportional to 3,454,708,456 and 7,459,900,612 is: 16,108,484,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454,708,456 : 7,459,900,612 = 7,459,900,612 : x
  2. Step 2: Convert to fraction form
    3,454,708,456/7,459,900,612 = 7,459,900,612/x
  3. Step 3: Cross multiply
    3,454,708,456x = 7,459,900,612 × 7,459,900,612
  4. Step 4: Simplify right side
    3,454,708,456x = 55,650,117,140,917,977,088
  5. Step 5: Solve for x
    x = 55,650,117,140,917,977,088/3,454,708,456
  6. Step 6: Final answer
    x = 16,108,484,362.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.