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Finding the Third Proportional to 370,205,021,069 and 750,819,365,587.50

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Solution

The third proportional to 370,205,021,069 and 750,819,365,587.50 is: 1,522,750,064,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,205,021,069 : 750,819,365,587.50 = 750,819,365,587.50 : x
  2. Step 2: Convert to fraction form
    370,205,021,069/750,819,365,587.50 = 750,819,365,587.50/x
  3. Step 3: Cross multiply
    370,205,021,069x = 750,819,365,587.50 × 750,819,365,587.50
  4. Step 4: Simplify right side
    370,205,021,069x = 563,729,719,741,216,007,913,472
  5. Step 5: Solve for x
    x = 563,729,719,741,216,007,913,472/370,205,021,069
  6. Step 6: Final answer
    x = 1,522,750,064,581.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.