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Finding the Third Proportional to 261,918,624 and 570,338,340

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Solution

The third proportional to 261,918,624 and 570,338,340 is: 1,241,934,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,918,624 : 570,338,340 = 570,338,340 : x
  2. Step 2: Convert to fraction form
    261,918,624/570,338,340 = 570,338,340/x
  3. Step 3: Cross multiply
    261,918,624x = 570,338,340 × 570,338,340
  4. Step 4: Simplify right side
    261,918,624x = 325,285,822,073,955,584
  5. Step 5: Solve for x
    x = 325,285,822,073,955,584/261,918,624
  6. Step 6: Final answer
    x = 1,241,934,678.44

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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.