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Finding the Third Proportional to 1,165,656,076 and 2,535,547,419

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Solution

The third proportional to 1,165,656,076 and 2,535,547,419 is: 5,515,349,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,656,076 : 2,535,547,419 = 2,535,547,419 : x
  2. Step 2: Convert to fraction form
    1,165,656,076/2,535,547,419 = 2,535,547,419/x
  3. Step 3: Cross multiply
    1,165,656,076x = 2,535,547,419 × 2,535,547,419
  4. Step 4: Simplify right side
    1,165,656,076x = 6,429,000,713,997,561,856
  5. Step 5: Solve for x
    x = 6,429,000,713,997,561,856/1,165,656,076
  6. Step 6: Final answer
    x = 5,515,349,549.81

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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.