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Finding the Third Proportional to 45,388,235,949 and 99,326,620,628.25

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Solution

The third proportional to 45,388,235,949 and 99,326,620,628.25 is: 217,364,199,316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,388,235,949 : 99,326,620,628.25 = 99,326,620,628.25 : x
  2. Step 2: Convert to fraction form
    45,388,235,949/99,326,620,628.25 = 99,326,620,628.25/x
  3. Step 3: Cross multiply
    45,388,235,949x = 99,326,620,628.25 × 99,326,620,628.25
  4. Step 4: Simplify right side
    45,388,235,949x = 9,865,777,565,428,298,547,200
  5. Step 5: Solve for x
    x = 9,865,777,565,428,298,547,200/45,388,235,949
  6. Step 6: Final answer
    x = 217,364,199,316.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.