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Finding the Third Proportional to 261,680,821,740 and 569,210,831,316

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Solution

The third proportional to 261,680,821,740 and 569,210,831,316 is: 1,238,153,290,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,680,821,740 : 569,210,831,316 = 569,210,831,316 : x
  2. Step 2: Convert to fraction form
    261,680,821,740/569,210,831,316 = 569,210,831,316/x
  3. Step 3: Cross multiply
    261,680,821,740x = 569,210,831,316 × 569,210,831,316
  4. Step 4: Simplify right side
    261,680,821,740x = 324,000,970,487,451,833,335,808
  5. Step 5: Solve for x
    x = 324,000,970,487,451,833,335,808/261,680,821,740
  6. Step 6: Final answer
    x = 1,238,153,290,459.21

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Why These Related Problems?

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