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Finding the Third Proportional to 6,823,703,740 and 10,483,866,618

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Solution

The third proportional to 6,823,703,740 and 10,483,866,618 is: 16,107,302,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823,703,740 : 10,483,866,618 = 10,483,866,618 : x
  2. Step 2: Convert to fraction form
    6,823,703,740/10,483,866,618 = 10,483,866,618/x
  3. Step 3: Cross multiply
    6,823,703,740x = 10,483,866,618 × 10,483,866,618
  4. Step 4: Simplify right side
    6,823,703,740x = 109,911,459,264,014,761,984
  5. Step 5: Solve for x
    x = 109,911,459,264,014,761,984/6,823,703,740
  6. Step 6: Final answer
    x = 16,107,302,346.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.