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Finding the Third Proportional to 975,908,899 and 1,486,734,751.50

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Solution

The third proportional to 975,908,899 and 1,486,734,751.50 is: 2,264,945,246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,908,899 : 1,486,734,751.50 = 1,486,734,751.50 : x
  2. Step 2: Convert to fraction form
    975,908,899/1,486,734,751.50 = 1,486,734,751.50/x
  3. Step 3: Cross multiply
    975,908,899x = 1,486,734,751.50 × 1,486,734,751.50
  4. Step 4: Simplify right side
    975,908,899x = 2,210,380,221,317,766,656
  5. Step 5: Solve for x
    x = 2,210,380,221,317,766,656/975,908,899
  6. Step 6: Final answer
    x = 2,264,945,246.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.