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Finding the Third Proportional to 3,387,352,090 and 7,053,075,421

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Solution

The third proportional to 3,387,352,090 and 7,053,075,421 is: 14,685,769,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387,352,090 : 7,053,075,421 = 7,053,075,421 : x
  2. Step 2: Convert to fraction form
    3,387,352,090/7,053,075,421 = 7,053,075,421/x
  3. Step 3: Cross multiply
    3,387,352,090x = 7,053,075,421 × 7,053,075,421
  4. Step 4: Simplify right side
    3,387,352,090x = 49,745,872,894,314,323,968
  5. Step 5: Solve for x
    x = 49,745,872,894,314,323,968/3,387,352,090
  6. Step 6: Final answer
    x = 14,685,769,761.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.