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Finding the Third Proportional to 30,532,298 and 65,847,442

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Solution

The third proportional to 30,532,298 and 65,847,442 is: 142,009,802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532,298 : 65,847,442 = 65,847,442 : x
  2. Step 2: Convert to fraction form
    30,532,298/65,847,442 = 65,847,442/x
  3. Step 3: Cross multiply
    30,532,298x = 65,847,442 × 65,847,442
  4. Step 4: Simplify right side
    30,532,298x = 4,335,885,617,943,364
  5. Step 5: Solve for x
    x = 4,335,885,617,943,364/30,532,298
  6. Step 6: Final answer
    x = 142,009,802.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.