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Finding the Third Proportional to 61,826,248,338 and 133,918,816,779

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Solution

The third proportional to 61,826,248,338 and 133,918,816,779 is: 290,075,008,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,826,248,338 : 133,918,816,779 = 133,918,816,779 : x
  2. Step 2: Convert to fraction form
    61,826,248,338/133,918,816,779 = 133,918,816,779/x
  3. Step 3: Cross multiply
    61,826,248,338x = 133,918,816,779 × 133,918,816,779
  4. Step 4: Simplify right side
    61,826,248,338x = 17,934,249,487,487,371,051,008
  5. Step 5: Solve for x
    x = 17,934,249,487,487,371,051,008/61,826,248,338
  6. Step 6: Final answer
    x = 290,075,008,100.80

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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.