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Finding the Third Proportional to 15,698,516,636 and 24,129,702,849

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Solution

The third proportional to 15,698,516,636 and 24,129,702,849 is: 37,089,017,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698,516,636 : 24,129,702,849 = 24,129,702,849 : x
  2. Step 2: Convert to fraction form
    15,698,516,636/24,129,702,849 = 24,129,702,849/x
  3. Step 3: Cross multiply
    15,698,516,636x = 24,129,702,849 × 24,129,702,849
  4. Step 4: Simplify right side
    15,698,516,636x = 582,242,559,581,038,706,688
  5. Step 5: Solve for x
    x = 582,242,559,581,038,706,688/15,698,516,636
  6. Step 6: Final answer
    x = 37,089,017,585.64

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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.