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Finding the Third Proportional to 21,073,829,388 and 45,506,461,716

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Solution

The third proportional to 21,073,829,388 and 45,506,461,716 is: 98,265,864,251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,073,829,388 : 45,506,461,716 = 45,506,461,716 : x
  2. Step 2: Convert to fraction form
    21,073,829,388/45,506,461,716 = 45,506,461,716/x
  3. Step 3: Cross multiply
    21,073,829,388x = 45,506,461,716 × 45,506,461,716
  4. Step 4: Simplify right side
    21,073,829,388x = 2,070,838,057,909,773,664,256
  5. Step 5: Solve for x
    x = 2,070,838,057,909,773,664,256/21,073,829,388
  6. Step 6: Final answer
    x = 98,265,864,251.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.