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Finding the Third Proportional to 47,617,800 and 71,241,528

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Solution

The third proportional to 47,617,800 and 71,241,528 is: 106,585,254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,617,800 : 71,241,528 = 71,241,528 : x
  2. Step 2: Convert to fraction form
    47,617,800/71,241,528 = 71,241,528/x
  3. Step 3: Cross multiply
    47,617,800x = 71,241,528 × 71,241,528
  4. Step 4: Simplify right side
    47,617,800x = 5,075,355,311,774,784
  5. Step 5: Solve for x
    x = 5,075,355,311,774,784/47,617,800
  6. Step 6: Final answer
    x = 106,585,254.08

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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.