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Finding the Third Proportional to 1,165,656,078 and 2,535,547,423

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Solution

The third proportional to 1,165,656,078 and 2,535,547,423 is: 5,515,349,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,656,078 : 2,535,547,423 = 2,535,547,423 : x
  2. Step 2: Convert to fraction form
    1,165,656,078/2,535,547,423 = 2,535,547,423/x
  3. Step 3: Cross multiply
    1,165,656,078x = 2,535,547,423 × 2,535,547,423
  4. Step 4: Simplify right side
    1,165,656,078x = 6,429,000,734,281,940,992
  5. Step 5: Solve for x
    x = 6,429,000,734,281,940,992/1,165,656,078
  6. Step 6: Final answer
    x = 5,515,349,557.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.