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Finding the Third Proportional to 7,333,971,918.75 and 15,886,328,301

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Solution

The third proportional to 7,333,971,918.75 and 15,886,328,301 is: 34,411,834,362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333,971,918.75 : 15,886,328,301 = 15,886,328,301 : x
  2. Step 2: Convert to fraction form
    7,333,971,918.75/15,886,328,301 = 15,886,328,301/x
  3. Step 3: Cross multiply
    7,333,971,918.75x = 15,886,328,301 × 15,886,328,301
  4. Step 4: Simplify right side
    7,333,971,918.75x = 252,375,426,887,153,549,312
  5. Step 5: Solve for x
    x = 252,375,426,887,153,549,312/7,333,971,918.75
  6. Step 6: Final answer
    x = 34,411,834,362.49

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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.