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Finding the Third Proportional to 15,698,516,618 and 24,129,702,822

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Solution

The third proportional to 15,698,516,618 and 24,129,702,822 is: 37,089,017,545.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698,516,618 : 24,129,702,822 = 24,129,702,822 : x
  2. Step 2: Convert to fraction form
    15,698,516,618/24,129,702,822 = 24,129,702,822/x
  3. Step 3: Cross multiply
    15,698,516,618x = 24,129,702,822 × 24,129,702,822
  4. Step 4: Simplify right side
    15,698,516,618x = 582,242,558,278,034,784,256
  5. Step 5: Solve for x
    x = 582,242,558,278,034,784,256/15,698,516,618
  6. Step 6: Final answer
    x = 37,089,017,545.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.