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Finding the Third Proportional to 7,185,730,152 and 15,726,075,740

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Solution

The third proportional to 7,185,730,152 and 15,726,075,740 is: 34,416,747,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185,730,152 : 15,726,075,740 = 15,726,075,740 : x
  2. Step 2: Convert to fraction form
    7,185,730,152/15,726,075,740 = 15,726,075,740/x
  3. Step 3: Cross multiply
    7,185,730,152x = 15,726,075,740 × 15,726,075,740
  4. Step 4: Simplify right side
    7,185,730,152x = 247,309,458,180,216,553,472
  5. Step 5: Solve for x
    x = 247,309,458,180,216,553,472/7,185,730,152
  6. Step 6: Final answer
    x = 34,416,747,212.72

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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.