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Finding the Third Proportional to 375,748,548.75 and 777,271,986.75

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Solution

The third proportional to 375,748,548.75 and 777,271,986.75 is: 1,607,861,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,748,548.75 : 777,271,986.75 = 777,271,986.75 : x
  2. Step 2: Convert to fraction form
    375,748,548.75/777,271,986.75 = 777,271,986.75/x
  3. Step 3: Cross multiply
    375,748,548.75x = 777,271,986.75 × 777,271,986.75
  4. Step 4: Simplify right side
    375,748,548.75x = 604,151,741,386,292,224
  5. Step 5: Solve for x
    x = 604,151,741,386,292,224/375,748,548.75
  6. Step 6: Final answer
    x = 1,607,861,809.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.