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Finding the Third Proportional to 678,152,196 and 1,464,717,384

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Solution

The third proportional to 678,152,196 and 1,464,717,384 is: 3,163,592,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,152,196 : 1,464,717,384 = 1,464,717,384 : x
  2. Step 2: Convert to fraction form
    678,152,196/1,464,717,384 = 1,464,717,384/x
  3. Step 3: Cross multiply
    678,152,196x = 1,464,717,384 × 1,464,717,384
  4. Step 4: Simplify right side
    678,152,196x = 2,145,397,014,991,803,392
  5. Step 5: Solve for x
    x = 2,145,397,014,991,803,392/678,152,196
  6. Step 6: Final answer
    x = 3,163,592,225.53

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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.