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Finding the Third Proportional to 292,566,643 and 429,151,031.50

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Solution

The third proportional to 292,566,643 and 429,151,031.50 is: 629,499,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,566,643 : 429,151,031.50 = 429,151,031.50 : x
  2. Step 2: Convert to fraction form
    292,566,643/429,151,031.50 = 429,151,031.50/x
  3. Step 3: Cross multiply
    292,566,643x = 429,151,031.50 × 429,151,031.50
  4. Step 4: Simplify right side
    292,566,643x = 184,170,607,837,513,984
  5. Step 5: Solve for x
    x = 184,170,607,837,513,984/292,566,643
  6. Step 6: Final answer
    x = 629,499,678.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.