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Finding the Third Proportional to 716,738,500,416 and 1,535,710,608,628

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Solution

The third proportional to 716,738,500,416 and 1,535,710,608,628 is: 3,290,470,753,397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,738,500,416 : 1,535,710,608,628 = 1,535,710,608,628 : x
  2. Step 2: Convert to fraction form
    716,738,500,416/1,535,710,608,628 = 1,535,710,608,628/x
  3. Step 3: Cross multiply
    716,738,500,416x = 1,535,710,608,628 × 1,535,710,608,628
  4. Step 4: Simplify right side
    716,738,500,416x = 2,358,407,073,452,582,139,592,704
  5. Step 5: Solve for x
    x = 2,358,407,073,452,582,139,592,704/716,738,500,416
  6. Step 6: Final answer
    x = 3,290,470,753,397.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.