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Finding the Third Proportional to 3,497,394,507 and 5,001,315,315

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Solution

The third proportional to 3,497,394,507 and 5,001,315,315 is: 7,151,939,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497,394,507 : 5,001,315,315 = 5,001,315,315 : x
  2. Step 2: Convert to fraction form
    3,497,394,507/5,001,315,315 = 5,001,315,315/x
  3. Step 3: Cross multiply
    3,497,394,507x = 5,001,315,315 × 5,001,315,315
  4. Step 4: Simplify right side
    3,497,394,507x = 25,013,154,880,053,551,104
  5. Step 5: Solve for x
    x = 25,013,154,880,053,551,104/3,497,394,507
  6. Step 6: Final answer
    x = 7,151,939,774.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.