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Finding the Third Proportional to 15,698,516,666 and 24,129,702,894

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Solution

The third proportional to 15,698,516,666 and 24,129,702,894 is: 37,089,017,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698,516,666 : 24,129,702,894 = 24,129,702,894 : x
  2. Step 2: Convert to fraction form
    15,698,516,666/24,129,702,894 = 24,129,702,894/x
  3. Step 3: Cross multiply
    15,698,516,666x = 24,129,702,894 × 24,129,702,894
  4. Step 4: Simplify right side
    15,698,516,666x = 582,242,561,752,711,954,432
  5. Step 5: Solve for x
    x = 582,242,561,752,711,954,432/15,698,516,666
  6. Step 6: Final answer
    x = 37,089,017,653.10

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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.