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Finding the Third Proportional to 496,607,352 and 1,170,641,724

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Solution

The third proportional to 496,607,352 and 1,170,641,724 is: 2,759,528,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,607,352 : 1,170,641,724 = 1,170,641,724 : x
  2. Step 2: Convert to fraction form
    496,607,352/1,170,641,724 = 1,170,641,724/x
  3. Step 3: Cross multiply
    496,607,352x = 1,170,641,724 × 1,170,641,724
  4. Step 4: Simplify right side
    496,607,352x = 1,370,402,045,969,692,160
  5. Step 5: Solve for x
    x = 1,370,402,045,969,692,160/496,607,352
  6. Step 6: Final answer
    x = 2,759,528,308.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.