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Finding the Third Proportional to 51,061,765,476 and 111,742,448,276

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Solution

The third proportional to 51,061,765,476 and 111,742,448,276 is: 244,534,724,373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,061,765,476 : 111,742,448,276 = 111,742,448,276 : x
  2. Step 2: Convert to fraction form
    51,061,765,476/111,742,448,276 = 111,742,448,276/x
  3. Step 3: Cross multiply
    51,061,765,476x = 111,742,448,276 × 111,742,448,276
  4. Step 4: Simplify right side
    51,061,765,476x = 12,486,374,746,714,535,886,848
  5. Step 5: Solve for x
    x = 12,486,374,746,714,535,886,848/51,061,765,476
  6. Step 6: Final answer
    x = 244,534,724,373.83

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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.