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Finding the Third Proportional to 48,574,929.50 and 69,462,720.50

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Solution

The third proportional to 48,574,929.50 and 69,462,720.50 is: 99,332,507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,574,929.50 : 69,462,720.50 = 69,462,720.50 : x
  2. Step 2: Convert to fraction form
    48,574,929.50/69,462,720.50 = 69,462,720.50/x
  3. Step 3: Cross multiply
    48,574,929.50x = 69,462,720.50 × 69,462,720.50
  4. Step 4: Simplify right side
    48,574,929.50x = 4,825,069,539,261,120
  5. Step 5: Solve for x
    x = 4,825,069,539,261,120/48,574,929.50
  6. Step 6: Final answer
    x = 99,332,507.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.