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Finding the Third Proportional to 172,926,960,460.70 and 380,438,708,169.40

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Solution

The third proportional to 172,926,960,460.70 and 380,438,708,169.40 is: 836,963,827,317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,926,960,460.70 : 380,438,708,169.40 = 380,438,708,169.40 : x
  2. Step 2: Convert to fraction form
    172,926,960,460.70/380,438,708,169.40 = 380,438,708,169.40/x
  3. Step 3: Cross multiply
    172,926,960,460.70x = 380,438,708,169.40 × 380,438,708,169.40
  4. Step 4: Simplify right side
    172,926,960,460.70x = 144,733,610,673,601,911,980,032
  5. Step 5: Solve for x
    x = 144,733,610,673,601,911,980,032/172,926,960,460.70
  6. Step 6: Final answer
    x = 836,963,827,317.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.