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Finding the Third Proportional to 2,121,253,468.50 and 4,609,712,985

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Solution

The third proportional to 2,121,253,468.50 and 4,609,712,985 is: 10,017,404,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121,253,468.50 : 4,609,712,985 = 4,609,712,985 : x
  2. Step 2: Convert to fraction form
    2,121,253,468.50/4,609,712,985 = 4,609,712,985/x
  3. Step 3: Cross multiply
    2,121,253,468.50x = 4,609,712,985 × 4,609,712,985
  4. Step 4: Simplify right side
    2,121,253,468.50x = 21,249,453,804,077,608,960
  5. Step 5: Solve for x
    x = 21,249,453,804,077,608,960/2,121,253,468.50
  6. Step 6: Final answer
    x = 10,017,404,388.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.