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Finding the Third Proportional to 52,475,886 and 77,368,603.50

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Solution

The third proportional to 52,475,886 and 77,368,603.50 is: 114,069,552.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,475,886 : 77,368,603.50 = 77,368,603.50 : x
  2. Step 2: Convert to fraction form
    52,475,886/77,368,603.50 = 77,368,603.50/x
  3. Step 3: Cross multiply
    52,475,886x = 77,368,603.50 × 77,368,603.50
  4. Step 4: Simplify right side
    52,475,886x = 5,985,900,807,540,212
  5. Step 5: Solve for x
    x = 5,985,900,807,540,212/52,475,886
  6. Step 6: Final answer
    x = 114,069,552.01

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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.