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Finding the Third Proportional to 2,425,955,220 and 3,547,953,468

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Solution

The third proportional to 2,425,955,220 and 3,547,953,468 is: 5,188,873,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425,955,220 : 3,547,953,468 = 3,547,953,468 : x
  2. Step 2: Convert to fraction form
    2,425,955,220/3,547,953,468 = 3,547,953,468/x
  3. Step 3: Cross multiply
    2,425,955,220x = 3,547,953,468 × 3,547,953,468
  4. Step 4: Simplify right side
    2,425,955,220x = 12,587,973,811,093,227,520
  5. Step 5: Solve for x
    x = 12,587,973,811,093,227,520/2,425,955,220
  6. Step 6: Final answer
    x = 5,188,873,111.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.