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Finding the Third Proportional to 47,259,507 and 70,810,420.50

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Solution

The third proportional to 47,259,507 and 70,810,420.50 is: 106,097,502.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,259,507 : 70,810,420.50 = 70,810,420.50 : x
  2. Step 2: Convert to fraction form
    47,259,507/70,810,420.50 = 70,810,420.50/x
  3. Step 3: Cross multiply
    47,259,507x = 70,810,420.50 × 70,810,420.50
  4. Step 4: Simplify right side
    47,259,507x = 5,014,115,651,386,820
  5. Step 5: Solve for x
    x = 5,014,115,651,386,820/47,259,507
  6. Step 6: Final answer
    x = 106,097,502.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.