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Finding the Third Proportional to 35,042,344,656,006 and 51,513,801,168,969

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Solution

The third proportional to 35,042,344,656,006 and 51,513,801,168,969 is: 75,727,572,938,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,042,344,656,006 : 51,513,801,168,969 = 51,513,801,168,969 : x
  2. Step 2: Convert to fraction form
    35,042,344,656,006/51,513,801,168,969 = 51,513,801,168,969/x
  3. Step 3: Cross multiply
    35,042,344,656,006x = 51,513,801,168,969 × 51,513,801,168,969
  4. Step 4: Simplify right side
    35,042,344,656,006x = 2,653,671,710,876,072,163,621,732,352
  5. Step 5: Solve for x
    x = 2,653,671,710,876,072,163,621,732,352/35,042,344,656,006
  6. Step 6: Final answer
    x = 75,727,572,938,566.27

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