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Finding the Third Proportional to 575,784,741 and 1,243,316,766

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Solution

The third proportional to 575,784,741 and 1,243,316,766 is: 2,684,747,390.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,784,741 : 1,243,316,766 = 1,243,316,766 : x
  2. Step 2: Convert to fraction form
    575,784,741/1,243,316,766 = 1,243,316,766/x
  3. Step 3: Cross multiply
    575,784,741x = 1,243,316,766 × 1,243,316,766
  4. Step 4: Simplify right side
    575,784,741x = 1,545,836,580,616,698,880
  5. Step 5: Solve for x
    x = 1,545,836,580,616,698,880/575,784,741
  6. Step 6: Final answer
    x = 2,684,747,390.03

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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.