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Finding the Third Proportional to 3,738,360,646 and 7,977,081,618

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Solution

The third proportional to 3,738,360,646 and 7,977,081,618 is: 17,021,854,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738,360,646 : 7,977,081,618 = 7,977,081,618 : x
  2. Step 2: Convert to fraction form
    3,738,360,646/7,977,081,618 = 7,977,081,618/x
  3. Step 3: Cross multiply
    3,738,360,646x = 7,977,081,618 × 7,977,081,618
  4. Step 4: Simplify right side
    3,738,360,646x = 63,633,831,140,233,494,528
  5. Step 5: Solve for x
    x = 63,633,831,140,233,494,528/3,738,360,646
  6. Step 6: Final answer
    x = 17,021,854,541.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.