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Finding the Third Proportional to 4,974,642 and 7,681,852.50

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Solution

The third proportional to 4,974,642 and 7,681,852.50 is: 11,862,332.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974,642 : 7,681,852.50 = 7,681,852.50 : x
  2. Step 2: Convert to fraction form
    4,974,642/7,681,852.50 = 7,681,852.50/x
  3. Step 3: Cross multiply
    4,974,642x = 7,681,852.50 × 7,681,852.50
  4. Step 4: Simplify right side
    4,974,642x = 59,010,857,831,756.25
  5. Step 5: Solve for x
    x = 59,010,857,831,756.25/4,974,642
  6. Step 6: Final answer
    x = 11,862,332.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.