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Finding the Third Proportional to 29,411,463,561,870 and 64,363,427,537,646

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Solution

The third proportional to 29,411,463,561,870 and 64,363,427,537,646 is: 140,851,569,514,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,411,463,561,870 : 64,363,427,537,646 = 64,363,427,537,646 : x
  2. Step 2: Convert to fraction form
    29,411,463,561,870/64,363,427,537,646 = 64,363,427,537,646/x
  3. Step 3: Cross multiply
    29,411,463,561,870x = 64,363,427,537,646 × 64,363,427,537,646
  4. Step 4: Simplify right side
    29,411,463,561,870x = 4,142,650,804,393,807,252,608,253,952
  5. Step 5: Solve for x
    x = 4,142,650,804,393,807,252,608,253,952/29,411,463,561,870
  6. Step 6: Final answer
    x = 140,851,569,514,020.28

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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.