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Finding the Third Proportional to 283,216,482 and 437,402,412

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Solution

The third proportional to 283,216,482 and 437,402,412 is: 675,528,728.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,216,482 : 437,402,412 = 437,402,412 : x
  2. Step 2: Convert to fraction form
    283,216,482/437,402,412 = 437,402,412/x
  3. Step 3: Cross multiply
    283,216,482x = 437,402,412 × 437,402,412
  4. Step 4: Simplify right side
    283,216,482x = 191,320,870,023,417,728
  5. Step 5: Solve for x
    x = 191,320,870,023,417,728/283,216,482
  6. Step 6: Final answer
    x = 675,528,728.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.