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Finding the Third Proportional to 766,736,482 and 1,096,442,151

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Solution

The third proportional to 766,736,482 and 1,096,442,151 is: 1,567,925,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,736,482 : 1,096,442,151 = 1,096,442,151 : x
  2. Step 2: Convert to fraction form
    766,736,482/1,096,442,151 = 1,096,442,151/x
  3. Step 3: Cross multiply
    766,736,482x = 1,096,442,151 × 1,096,442,151
  4. Step 4: Simplify right side
    766,736,482x = 1,202,185,390,489,506,816
  5. Step 5: Solve for x
    x = 1,202,185,390,489,506,816/766,736,482
  6. Step 6: Final answer
    x = 1,567,925,119.92

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.