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Finding the Third Proportional to 404,106,098 and 872,877,412

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Solution

The third proportional to 404,106,098 and 872,877,412 is: 1,885,433,009.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,106,098 : 872,877,412 = 872,877,412 : x
  2. Step 2: Convert to fraction form
    404,106,098/872,877,412 = 872,877,412/x
  3. Step 3: Cross multiply
    404,106,098x = 872,877,412 × 872,877,412
  4. Step 4: Simplify right side
    404,106,098x = 761,914,976,379,817,728
  5. Step 5: Solve for x
    x = 761,914,976,379,817,728/404,106,098
  6. Step 6: Final answer
    x = 1,885,433,009.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.