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Finding the Third Proportional to 429,742,816 and 920,748,760

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Solution

The third proportional to 429,742,816 and 920,748,760 is: 1,972,757,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,742,816 : 920,748,760 = 920,748,760 : x
  2. Step 2: Convert to fraction form
    429,742,816/920,748,760 = 920,748,760/x
  3. Step 3: Cross multiply
    429,742,816x = 920,748,760 × 920,748,760
  4. Step 4: Simplify right side
    429,742,816x = 847,778,279,041,537,536
  5. Step 5: Solve for x
    x = 847,778,279,041,537,536/429,742,816
  6. Step 6: Final answer
    x = 1,972,757,303.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.