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Finding the Third Proportional to 6,575,294,721,888 and 10,059,464,689,776

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Solution

The third proportional to 6,575,294,721,888 and 10,059,464,689,776 is: 15,389,854,618,683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575,294,721,888 : 10,059,464,689,776 = 10,059,464,689,776 : x
  2. Step 2: Convert to fraction form
    6,575,294,721,888/10,059,464,689,776 = 10,059,464,689,776/x
  3. Step 3: Cross multiply
    6,575,294,721,888x = 10,059,464,689,776 × 10,059,464,689,776
  4. Step 4: Simplify right side
    6,575,294,721,888x = 101,192,829,844,850,163,908,083,712
  5. Step 5: Solve for x
    x = 101,192,829,844,850,163,908,083,712/6,575,294,721,888
  6. Step 6: Final answer
    x = 15,389,854,618,683.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.