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Finding the Third Proportional to 3,615,060,803,283 and 7,865,562,421,984.40

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Solution

The third proportional to 3,615,060,803,283 and 7,865,562,421,984.40 is: 17,113,701,699,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615,060,803,283 : 7,865,562,421,984.40 = 7,865,562,421,984.40 : x
  2. Step 2: Convert to fraction form
    3,615,060,803,283/7,865,562,421,984.40 = 7,865,562,421,984.40/x
  3. Step 3: Cross multiply
    3,615,060,803,283x = 7,865,562,421,984.40 × 7,865,562,421,984.40
  4. Step 4: Simplify right side
    3,615,060,803,283x = 61,867,072,214,133,104,678,273,024
  5. Step 5: Solve for x
    x = 61,867,072,214,133,104,678,273,024/3,615,060,803,283
  6. Step 6: Final answer
    x = 17,113,701,699,830.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.