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Finding the Third Proportional to 390,700,511,310 and 846,308,303,433

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Solution

The third proportional to 390,700,511,310 and 846,308,303,433 is: 1,833,214,249,088.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,700,511,310 : 846,308,303,433 = 846,308,303,433 : x
  2. Step 2: Convert to fraction form
    390,700,511,310/846,308,303,433 = 846,308,303,433/x
  3. Step 3: Cross multiply
    390,700,511,310x = 846,308,303,433 × 846,308,303,433
  4. Step 4: Simplify right side
    390,700,511,310x = 716,237,744,459,642,837,139,456
  5. Step 5: Solve for x
    x = 716,237,744,459,642,837,139,456/390,700,511,310
  6. Step 6: Final answer
    x = 1,833,214,249,088.47

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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.