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Finding the Third Proportional to 4,590,810,495 and 9,819,875,070

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Solution

The third proportional to 4,590,810,495 and 9,819,875,070 is: 21,004,993,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590,810,495 : 9,819,875,070 = 9,819,875,070 : x
  2. Step 2: Convert to fraction form
    4,590,810,495/9,819,875,070 = 9,819,875,070/x
  3. Step 3: Cross multiply
    4,590,810,495x = 9,819,875,070 × 9,819,875,070
  4. Step 4: Simplify right side
    4,590,810,495x = 96,429,946,390,407,512,064
  5. Step 5: Solve for x
    x = 96,429,946,390,407,512,064/4,590,810,495
  6. Step 6: Final answer
    x = 21,004,993,888.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.