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Finding the Third Proportional to 114,678,407 and 247,613,926

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Solution

The third proportional to 114,678,407 and 247,613,926 is: 534,648,657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,678,407 : 247,613,926 = 247,613,926 : x
  2. Step 2: Convert to fraction form
    114,678,407/247,613,926 = 247,613,926/x
  3. Step 3: Cross multiply
    114,678,407x = 247,613,926 × 247,613,926
  4. Step 4: Simplify right side
    114,678,407x = 61,312,656,349,133,472
  5. Step 5: Solve for x
    x = 61,312,656,349,133,472/114,678,407
  6. Step 6: Final answer
    x = 534,648,657.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.