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Finding the Third Proportional to 1,761,164,111.81 and 3,774,433,547.53

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Solution

The third proportional to 1,761,164,111.81 and 3,774,433,547.53 is: 8,089,165,858.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761,164,111.81 : 3,774,433,547.53 = 3,774,433,547.53 : x
  2. Step 2: Convert to fraction form
    1,761,164,111.81/3,774,433,547.53 = 3,774,433,547.53/x
  3. Step 3: Cross multiply
    1,761,164,111.81x = 3,774,433,547.53 × 3,774,433,547.53
  4. Step 4: Simplify right side
    1,761,164,111.81x = 14,246,348,604,728,958,976
  5. Step 5: Solve for x
    x = 14,246,348,604,728,958,976/1,761,164,111.81
  6. Step 6: Final answer
    x = 8,089,165,858.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.