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Finding the Third Proportional to 42,706,911 and 66,183,862.50

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Solution

The third proportional to 42,706,911 and 66,183,862.50 is: 102,566,623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,706,911 : 66,183,862.50 = 66,183,862.50 : x
  2. Step 2: Convert to fraction form
    42,706,911/66,183,862.50 = 66,183,862.50/x
  3. Step 3: Cross multiply
    42,706,911x = 66,183,862.50 × 66,183,862.50
  4. Step 4: Simplify right side
    42,706,911x = 4,380,303,655,418,906
  5. Step 5: Solve for x
    x = 4,380,303,655,418,906/42,706,911
  6. Step 6: Final answer
    x = 102,566,623.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.