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Finding the Third Proportional to 32,130,253.50 and 70,637,767.50

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Solution

The third proportional to 32,130,253.50 and 70,637,767.50 is: 155,295,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,130,253.50 : 70,637,767.50 = 70,637,767.50 : x
  2. Step 2: Convert to fraction form
    32,130,253.50/70,637,767.50 = 70,637,767.50/x
  3. Step 3: Cross multiply
    32,130,253.50x = 70,637,767.50 × 70,637,767.50
  4. Step 4: Simplify right side
    32,130,253.50x = 4,989,694,197,384,056
  5. Step 5: Solve for x
    x = 4,989,694,197,384,056/32,130,253.50
  6. Step 6: Final answer
    x = 155,295,824.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.