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Finding the Third Proportional to 1,767,239,276 and 2,635,533,618

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Solution

The third proportional to 1,767,239,276 and 2,635,533,618 is: 3,930,445,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767,239,276 : 2,635,533,618 = 2,635,533,618 : x
  2. Step 2: Convert to fraction form
    1,767,239,276/2,635,533,618 = 2,635,533,618/x
  3. Step 3: Cross multiply
    1,767,239,276x = 2,635,533,618 × 2,635,533,618
  4. Step 4: Simplify right side
    1,767,239,276x = 6,946,037,451,608,169,472
  5. Step 5: Solve for x
    x = 6,946,037,451,608,169,472/1,767,239,276
  6. Step 6: Final answer
    x = 3,930,445,382.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.