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Finding the Third Proportional to 11,326,537,478 and 15,748,645,010

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Solution

The third proportional to 11,326,537,478 and 15,748,645,010 is: 21,897,232,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,326,537,478 : 15,748,645,010 = 15,748,645,010 : x
  2. Step 2: Convert to fraction form
    11,326,537,478/15,748,645,010 = 15,748,645,010/x
  3. Step 3: Cross multiply
    11,326,537,478x = 15,748,645,010 × 15,748,645,010
  4. Step 4: Simplify right side
    11,326,537,478x = 248,019,819,650,997,911,552
  5. Step 5: Solve for x
    x = 248,019,819,650,997,911,552/11,326,537,478
  6. Step 6: Final answer
    x = 21,897,232,065.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.