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Finding the Third Proportional to 4,461,602,666 and 6,749,786,323

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Solution

The third proportional to 4,461,602,666 and 6,749,786,323 is: 10,211,490,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461,602,666 : 6,749,786,323 = 6,749,786,323 : x
  2. Step 2: Convert to fraction form
    4,461,602,666/6,749,786,323 = 6,749,786,323/x
  3. Step 3: Cross multiply
    4,461,602,666x = 6,749,786,323 × 6,749,786,323
  4. Step 4: Simplify right side
    4,461,602,666x = 45,559,615,406,157,856,768
  5. Step 5: Solve for x
    x = 45,559,615,406,157,856,768/4,461,602,666
  6. Step 6: Final answer
    x = 10,211,490,985.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.