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Finding the Third Proportional to 342,161,916,621.76 and 712,482,321,973.50

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Solution

The third proportional to 342,161,916,621.76 and 712,482,321,973.50 is: 1,483,598,946,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,161,916,621.76 : 712,482,321,973.50 = 712,482,321,973.50 : x
  2. Step 2: Convert to fraction form
    342,161,916,621.76/712,482,321,973.50 = 712,482,321,973.50/x
  3. Step 3: Cross multiply
    342,161,916,621.76x = 712,482,321,973.50 × 712,482,321,973.50
  4. Step 4: Simplify right side
    342,161,916,621.76x = 507,631,059,124,750,141,882,368
  5. Step 5: Solve for x
    x = 507,631,059,124,750,141,882,368/342,161,916,621.76
  6. Step 6: Final answer
    x = 1,483,598,946,769.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.