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Finding the Third Proportional to 56,551,656,420 and 84,337,075,242

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Solution

The third proportional to 56,551,656,420 and 84,337,075,242 is: 125,774,251,554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,551,656,420 : 84,337,075,242 = 84,337,075,242 : x
  2. Step 2: Convert to fraction form
    56,551,656,420/84,337,075,242 = 84,337,075,242/x
  3. Step 3: Cross multiply
    56,551,656,420x = 84,337,075,242 × 84,337,075,242
  4. Step 4: Simplify right side
    56,551,656,420x = 7,112,742,260,374,769,762,304
  5. Step 5: Solve for x
    x = 7,112,742,260,374,769,762,304/56,551,656,420
  6. Step 6: Final answer
    x = 125,774,251,554.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.