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Finding the Third Proportional to 581,678,300 and 1,272,811,720

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Solution

The third proportional to 581,678,300 and 1,272,811,720 is: 2,785,129,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,678,300 : 1,272,811,720 = 1,272,811,720 : x
  2. Step 2: Convert to fraction form
    581,678,300/1,272,811,720 = 1,272,811,720/x
  3. Step 3: Cross multiply
    581,678,300x = 1,272,811,720 × 1,272,811,720
  4. Step 4: Simplify right side
    581,678,300x = 1,620,049,674,569,358,336
  5. Step 5: Solve for x
    x = 1,620,049,674,569,358,336/581,678,300
  6. Step 6: Final answer
    x = 2,785,129,984.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.