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Finding the Third Proportional to 32,335,785,700 and 70,767,340,862

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Solution

The third proportional to 32,335,785,700 and 70,767,340,862 is: 154,875,362,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,335,785,700 : 70,767,340,862 = 70,767,340,862 : x
  2. Step 2: Convert to fraction form
    32,335,785,700/70,767,340,862 = 70,767,340,862/x
  3. Step 3: Cross multiply
    32,335,785,700x = 70,767,340,862 × 70,767,340,862
  4. Step 4: Simplify right side
    32,335,785,700x = 5,008,016,532,678,494,912,512
  5. Step 5: Solve for x
    x = 5,008,016,532,678,494,912,512/32,335,785,700
  6. Step 6: Final answer
    x = 154,875,362,520.68

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