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Finding the Third Proportional to 1,675,705,186 and 3,525,063,972

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Solution

The third proportional to 1,675,705,186 and 3,525,063,972 is: 7,415,430,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675,705,186 : 3,525,063,972 = 3,525,063,972 : x
  2. Step 2: Convert to fraction form
    1,675,705,186/3,525,063,972 = 3,525,063,972/x
  3. Step 3: Cross multiply
    1,675,705,186x = 3,525,063,972 × 3,525,063,972
  4. Step 4: Simplify right side
    1,675,705,186x = 12,426,076,006,692,417,536
  5. Step 5: Solve for x
    x = 12,426,076,006,692,417,536/1,675,705,186
  6. Step 6: Final answer
    x = 7,415,430,894.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.