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Finding the Third Proportional to 1,602,819,076 and 2,416,841,878

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Solution

The third proportional to 1,602,819,076 and 2,416,841,878 is: 3,644,281,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,819,076 : 2,416,841,878 = 2,416,841,878 : x
  2. Step 2: Convert to fraction form
    1,602,819,076/2,416,841,878 = 2,416,841,878/x
  3. Step 3: Cross multiply
    1,602,819,076x = 2,416,841,878 × 2,416,841,878
  4. Step 4: Simplify right side
    1,602,819,076x = 5,841,124,663,254,566,912
  5. Step 5: Solve for x
    x = 5,841,124,663,254,566,912/1,602,819,076
  6. Step 6: Final answer
    x = 3,644,281,972.13

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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.