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Finding the Third Proportional to 46,674,309 and 67,430,510.25

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Solution

The third proportional to 46,674,309 and 67,430,510.25 is: 97,417,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,674,309 : 67,430,510.25 = 67,430,510.25 : x
  2. Step 2: Convert to fraction form
    46,674,309/67,430,510.25 = 67,430,510.25/x
  3. Step 3: Cross multiply
    46,674,309x = 67,430,510.25 × 67,430,510.25
  4. Step 4: Simplify right side
    46,674,309x = 4,546,873,712,575,355
  5. Step 5: Solve for x
    x = 4,546,873,712,575,355/46,674,309
  6. Step 6: Final answer
    x = 97,417,054.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.