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Finding the Third Proportional to 1,420,879,094,730 and 3,068,221,674,852

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Solution

The third proportional to 1,420,879,094,730 and 3,068,221,674,852 is: 6,625,464,672,502.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,879,094,730 : 3,068,221,674,852 = 3,068,221,674,852 : x
  2. Step 2: Convert to fraction form
    1,420,879,094,730/3,068,221,674,852 = 3,068,221,674,852/x
  3. Step 3: Cross multiply
    1,420,879,094,730x = 3,068,221,674,852 × 3,068,221,674,852
  4. Step 4: Simplify right side
    1,420,879,094,730x = 9,413,984,246,031,611,760,476,160
  5. Step 5: Solve for x
    x = 9,413,984,246,031,611,760,476,160/1,420,879,094,730
  6. Step 6: Final answer
    x = 6,625,464,672,502.97

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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.