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Finding the Third Proportional to 1,153,657,438,276 and 1,695,927,611,898

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Solution

The third proportional to 1,153,657,438,276 and 1,695,927,611,898 is: 2,493,088,822,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,657,438,276 : 1,695,927,611,898 = 1,695,927,611,898 : x
  2. Step 2: Convert to fraction form
    1,153,657,438,276/1,695,927,611,898 = 1,695,927,611,898/x
  3. Step 3: Cross multiply
    1,153,657,438,276x = 1,695,927,611,898 × 1,695,927,611,898
  4. Step 4: Simplify right side
    1,153,657,438,276x = 2,876,170,464,798,053,280,776,192
  5. Step 5: Solve for x
    x = 2,876,170,464,798,053,280,776,192/1,153,657,438,276
  6. Step 6: Final answer
    x = 2,493,088,822,879.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.