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Finding the Third Proportional to 476,047,632 and 735,614,304

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Solution

The third proportional to 476,047,632 and 735,614,304 is: 1,136,710,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,047,632 : 735,614,304 = 735,614,304 : x
  2. Step 2: Convert to fraction form
    476,047,632/735,614,304 = 735,614,304/x
  3. Step 3: Cross multiply
    476,047,632x = 735,614,304 × 735,614,304
  4. Step 4: Simplify right side
    476,047,632x = 541,128,404,249,404,416
  5. Step 5: Solve for x
    x = 541,128,404,249,404,416/476,047,632
  6. Step 6: Final answer
    x = 1,136,710,631.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.