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Finding the Third Proportional to 52,475,908.50 and 77,368,637.25

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Solution

The third proportional to 52,475,908.50 and 77,368,637.25 is: 114,069,602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,475,908.50 : 77,368,637.25 = 77,368,637.25 : x
  2. Step 2: Convert to fraction form
    52,475,908.50/77,368,637.25 = 77,368,637.25/x
  3. Step 3: Cross multiply
    52,475,908.50x = 77,368,637.25 × 77,368,637.25
  4. Step 4: Simplify right side
    52,475,908.50x = 5,985,906,029,922,088
  5. Step 5: Solve for x
    x = 5,985,906,029,922,088/52,475,908.50
  6. Step 6: Final answer
    x = 114,069,602.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.