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Finding the Third Proportional to 466,300,921.50 and 1,005,239,497.50

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Solution

The third proportional to 466,300,921.50 and 1,005,239,497.50 is: 2,167,069,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,300,921.50 : 1,005,239,497.50 = 1,005,239,497.50 : x
  2. Step 2: Convert to fraction form
    466,300,921.50/1,005,239,497.50 = 1,005,239,497.50/x
  3. Step 3: Cross multiply
    466,300,921.50x = 1,005,239,497.50 × 1,005,239,497.50
  4. Step 4: Simplify right side
    466,300,921.50x = 1,010,506,447,334,052,480
  5. Step 5: Solve for x
    x = 1,010,506,447,334,052,480/466,300,921.50
  6. Step 6: Final answer
    x = 2,167,069,376.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.