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Finding the Third Proportional to 323,863,506 and 705,230,532

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Solution

The third proportional to 323,863,506 and 705,230,532 is: 1,535,678,129.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,863,506 : 705,230,532 = 705,230,532 : x
  2. Step 2: Convert to fraction form
    323,863,506/705,230,532 = 705,230,532/x
  3. Step 3: Cross multiply
    323,863,506x = 705,230,532 × 705,230,532
  4. Step 4: Simplify right side
    323,863,506x = 497,350,103,265,003,008
  5. Step 5: Solve for x
    x = 497,350,103,265,003,008/323,863,506
  6. Step 6: Final answer
    x = 1,535,678,129.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.