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Finding the Third Proportional to 31,070,098 and 46,605,129

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Solution

The third proportional to 31,070,098 and 46,605,129 is: 69,907,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070,098 : 46,605,129 = 46,605,129 : x
  2. Step 2: Convert to fraction form
    31,070,098/46,605,129 = 46,605,129/x
  3. Step 3: Cross multiply
    31,070,098x = 46,605,129 × 46,605,129
  4. Step 4: Simplify right side
    31,070,098x = 2,172,038,049,106,641
  5. Step 5: Solve for x
    x = 2,172,038,049,106,641/31,070,098
  6. Step 6: Final answer
    x = 69,907,666.50

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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.