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Finding the Third Proportional to 1,064,627,014 and 2,316,721,646

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Solution

The third proportional to 1,064,627,014 and 2,316,721,646 is: 5,041,389,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,627,014 : 2,316,721,646 = 2,316,721,646 : x
  2. Step 2: Convert to fraction form
    1,064,627,014/2,316,721,646 = 2,316,721,646/x
  3. Step 3: Cross multiply
    1,064,627,014x = 2,316,721,646 × 2,316,721,646
  4. Step 4: Simplify right side
    1,064,627,014x = 5,367,199,185,044,948,992
  5. Step 5: Solve for x
    x = 5,367,199,185,044,948,992/1,064,627,014
  6. Step 6: Final answer
    x = 5,041,389,251.32

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Why These Related Problems?

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