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Finding the Third Proportional to 505,836,985.13 and 758,755,426.13

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Solution

The third proportional to 505,836,985.13 and 758,755,426.13 is: 1,138,133,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,836,985.13 : 758,755,426.13 = 758,755,426.13 : x
  2. Step 2: Convert to fraction form
    505,836,985.13/758,755,426.13 = 758,755,426.13/x
  3. Step 3: Cross multiply
    505,836,985.13x = 758,755,426.13 × 758,755,426.13
  4. Step 4: Simplify right side
    505,836,985.13x = 575,709,796,674,130,304
  5. Step 5: Solve for x
    x = 575,709,796,674,130,304/505,836,985.13
  6. Step 6: Final answer
    x = 1,138,133,061.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.