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Finding the Third Proportional to 10,605,249,939 and 15,907,872,964.50

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Solution

The third proportional to 10,605,249,939 and 15,907,872,964.50 is: 23,861,806,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605,249,939 : 15,907,872,964.50 = 15,907,872,964.50 : x
  2. Step 2: Convert to fraction form
    10,605,249,939/15,907,872,964.50 = 15,907,872,964.50/x
  3. Step 3: Cross multiply
    10,605,249,939x = 15,907,872,964.50 × 15,907,872,964.50
  4. Step 4: Simplify right side
    10,605,249,939x = 253,060,422,254,670,020,608
  5. Step 5: Solve for x
    x = 253,060,422,254,670,020,608/10,605,249,939
  6. Step 6: Final answer
    x = 23,861,806,530.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.