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Finding the Third Proportional to 32,247,226,223 and 70,693,180,271

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Solution

The third proportional to 32,247,226,223 and 70,693,180,271 is: 154,975,367,563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,247,226,223 : 70,693,180,271 = 70,693,180,271 : x
  2. Step 2: Convert to fraction form
    32,247,226,223/70,693,180,271 = 70,693,180,271/x
  3. Step 3: Cross multiply
    32,247,226,223x = 70,693,180,271 × 70,693,180,271
  4. Step 4: Simplify right side
    32,247,226,223x = 4,997,525,736,828,104,081,408
  5. Step 5: Solve for x
    x = 4,997,525,736,828,104,081,408/32,247,226,223
  6. Step 6: Final answer
    x = 154,975,367,563.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.