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Finding the Third Proportional to 516,065,361,309 and 717,547,634,424

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Solution

The third proportional to 516,065,361,309 and 717,547,634,424 is: 997,692,630,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,065,361,309 : 717,547,634,424 = 717,547,634,424 : x
  2. Step 2: Convert to fraction form
    516,065,361,309/717,547,634,424 = 717,547,634,424/x
  3. Step 3: Cross multiply
    516,065,361,309x = 717,547,634,424 × 717,547,634,424
  4. Step 4: Simplify right side
    516,065,361,309x = 514,874,607,667,478,328,770,560
  5. Step 5: Solve for x
    x = 514,874,607,667,478,328,770,560/516,065,361,309
  6. Step 6: Final answer
    x = 997,692,630,176.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.