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Finding the Third Proportional to 447,066,547.59 and 666,238,548.52

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Solution

The third proportional to 447,066,547.59 and 666,238,548.52 is: 992,858,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,066,547.59 : 666,238,548.52 = 666,238,548.52 : x
  2. Step 2: Convert to fraction form
    447,066,547.59/666,238,548.52 = 666,238,548.52/x
  3. Step 3: Cross multiply
    447,066,547.59x = 666,238,548.52 × 666,238,548.52
  4. Step 4: Simplify right side
    447,066,547.59x = 443,873,803,528,200,128
  5. Step 5: Solve for x
    x = 443,873,803,528,200,128/447,066,547.59
  6. Step 6: Final answer
    x = 992,858,459.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.