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Finding the Third Proportional to 404,106,142 and 872,877,482

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Solution

The third proportional to 404,106,142 and 872,877,482 is: 1,885,433,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,106,142 : 872,877,482 = 872,877,482 : x
  2. Step 2: Convert to fraction form
    404,106,142/872,877,482 = 872,877,482/x
  3. Step 3: Cross multiply
    404,106,142x = 872,877,482 × 872,877,482
  4. Step 4: Simplify right side
    404,106,142x = 761,915,098,582,660,352
  5. Step 5: Solve for x
    x = 761,915,098,582,660,352/404,106,142
  6. Step 6: Final answer
    x = 1,885,433,106.29

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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.