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Finding the Third Proportional to 1,064,627,019 and 2,316,721,656

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Solution

The third proportional to 1,064,627,019 and 2,316,721,656 is: 5,041,389,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,627,019 : 2,316,721,656 = 2,316,721,656 : x
  2. Step 2: Convert to fraction form
    1,064,627,019/2,316,721,656 = 2,316,721,656/x
  3. Step 3: Cross multiply
    1,064,627,019x = 2,316,721,656 × 2,316,721,656
  4. Step 4: Simplify right side
    1,064,627,019x = 5,367,199,231,379,382,272
  5. Step 5: Solve for x
    x = 5,367,199,231,379,382,272/1,064,627,019
  6. Step 6: Final answer
    x = 5,041,389,271.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.