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Finding the Third Proportional to 6,875,563.50 and 14,570,734.50

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Solution

The third proportional to 6,875,563.50 and 14,570,734.50 is: 30,878,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875,563.50 : 14,570,734.50 = 14,570,734.50 : x
  2. Step 2: Convert to fraction form
    6,875,563.50/14,570,734.50 = 14,570,734.50/x
  3. Step 3: Cross multiply
    6,875,563.50x = 14,570,734.50 × 14,570,734.50
  4. Step 4: Simplify right side
    6,875,563.50x = 212,306,303,869,490.25
  5. Step 5: Solve for x
    x = 212,306,303,869,490.25/6,875,563.50
  6. Step 6: Final answer
    x = 30,878,386.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.