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Finding the Third Proportional to 700,934,376 and 1,495,686,681

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Solution

The third proportional to 700,934,376 and 1,495,686,681 is: 3,191,566,463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,934,376 : 1,495,686,681 = 1,495,686,681 : x
  2. Step 2: Convert to fraction form
    700,934,376/1,495,686,681 = 1,495,686,681/x
  3. Step 3: Cross multiply
    700,934,376x = 1,495,686,681 × 1,495,686,681
  4. Step 4: Simplify right side
    700,934,376x = 2,237,078,647,720,795,648
  5. Step 5: Solve for x
    x = 2,237,078,647,720,795,648/700,934,376
  6. Step 6: Final answer
    x = 3,191,566,463.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.