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Finding the Third Proportional to 4,041,973,210.50 and 8,845,917,603.75

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Solution

The third proportional to 4,041,973,210.50 and 8,845,917,603.75 is: 19,359,420,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,041,973,210.50 : 8,845,917,603.75 = 8,845,917,603.75 : x
  2. Step 2: Convert to fraction form
    4,041,973,210.50/8,845,917,603.75 = 8,845,917,603.75/x
  3. Step 3: Cross multiply
    4,041,973,210.50x = 8,845,917,603.75 × 8,845,917,603.75
  4. Step 4: Simplify right side
    4,041,973,210.50x = 78,250,258,252,334,137,344
  5. Step 5: Solve for x
    x = 78,250,258,252,334,137,344/4,041,973,210.50
  6. Step 6: Final answer
    x = 19,359,420,307.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.