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Finding the Third Proportional to 35,862,309,849 and 78,480,292,776

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Solution

The third proportional to 35,862,309,849 and 78,480,292,776 is: 171,744,552,432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,862,309,849 : 78,480,292,776 = 78,480,292,776 : x
  2. Step 2: Convert to fraction form
    35,862,309,849/78,480,292,776 = 78,480,292,776/x
  3. Step 3: Cross multiply
    35,862,309,849x = 78,480,292,776 × 78,480,292,776
  4. Step 4: Simplify right side
    35,862,309,849x = 6,159,156,354,206,677,336,064
  5. Step 5: Solve for x
    x = 6,159,156,354,206,677,336,064/35,862,309,849
  6. Step 6: Final answer
    x = 171,744,552,432.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.