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Finding the Third Proportional to 1,657,881,085 and 3,595,488,798

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Solution

The third proportional to 1,657,881,085 and 3,595,488,798 is: 7,797,627,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,881,085 : 3,595,488,798 = 3,595,488,798 : x
  2. Step 2: Convert to fraction form
    1,657,881,085/3,595,488,798 = 3,595,488,798/x
  3. Step 3: Cross multiply
    1,657,881,085x = 3,595,488,798 × 3,595,488,798
  4. Step 4: Simplify right side
    1,657,881,085x = 12,927,539,696,543,483,904
  5. Step 5: Solve for x
    x = 12,927,539,696,543,483,904/1,657,881,085
  6. Step 6: Final answer
    x = 7,797,627,835.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.