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Finding the Third Proportional to 575,784,702 and 1,243,316,700

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Solution

The third proportional to 575,784,702 and 1,243,316,700 is: 2,684,747,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,784,702 : 1,243,316,700 = 1,243,316,700 : x
  2. Step 2: Convert to fraction form
    575,784,702/1,243,316,700 = 1,243,316,700/x
  3. Step 3: Cross multiply
    575,784,702x = 1,243,316,700 × 1,243,316,700
  4. Step 4: Simplify right side
    575,784,702x = 1,545,836,416,498,889,984
  5. Step 5: Solve for x
    x = 1,545,836,416,498,889,984/575,784,702
  6. Step 6: Final answer
    x = 2,684,747,286.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.