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Finding the Third Proportional to 4,812,963,859 and 10,288,289,577.50

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Solution

The third proportional to 4,812,963,859 and 10,288,289,577.50 is: 21,992,457,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812,963,859 : 10,288,289,577.50 = 10,288,289,577.50 : x
  2. Step 2: Convert to fraction form
    4,812,963,859/10,288,289,577.50 = 10,288,289,577.50/x
  3. Step 3: Cross multiply
    4,812,963,859x = 10,288,289,577.50 × 10,288,289,577.50
  4. Step 4: Simplify right side
    4,812,963,859x = 105,848,902,430,495,129,600
  5. Step 5: Solve for x
    x = 105,848,902,430,495,129,600/4,812,963,859
  6. Step 6: Final answer
    x = 21,992,457,357.14

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Why These Related Problems?

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