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Finding the Third Proportional to 27,908,473,976 and 42,897,249,444

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Solution

The third proportional to 27,908,473,976 and 42,897,249,444 is: 65,936,031,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,908,473,976 : 42,897,249,444 = 42,897,249,444 : x
  2. Step 2: Convert to fraction form
    27,908,473,976/42,897,249,444 = 42,897,249,444/x
  3. Step 3: Cross multiply
    27,908,473,976x = 42,897,249,444 × 42,897,249,444
  4. Step 4: Simplify right side
    27,908,473,976x = 1,840,174,009,860,758,437,888
  5. Step 5: Solve for x
    x = 1,840,174,009,860,758,437,888/27,908,473,976
  6. Step 6: Final answer
    x = 65,936,031,165.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.